The house is located in the country side but some cities is still within easy reach.
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Right outside the house is Bankerydsleden. An easy beginners route for hiking, just 25 km long.
https://www.youtube.com/watch?v=LvMCtEoFQYc
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3 km away is one of the best golf courses in Sweden. http://www.sandgolfclub.se/
https://www.youtube.com/watch?v=glrNvYeLHf4
https://www.youtube.com/watch?v=YG-sKv3uKxQ

20 km to the south is Dumme Mosse, one of southern Sweden's biggest swamp area http://jkpg.com/en/jonkoping-huskvarna/dumme-mosse/
https://www.youtube.com/watch?v=HBaWdzoLUds

20 km north west is Ryfors Golf, Sweden's oldest golf course.
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Destinations nearby
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Jönköping
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https://www.youtube.com/watch?v=CpKnkRsfGas
A city with 100,000 inhabitants. It is located just south of the Great Lake Vättern. In the summer it is a nice city to flinch in.
http://www.jkpg.com/sv/
http://www.jonkoping.se/upplevagora/turistbyraochevenemangskalender/jonkopingsturistbyra.4.74fef9ab15548f0b80018ced.html
Worth visiting is:
The pier, food in nice surroundings at Vättern. Here are several restaurants to choose from. http://www.pirenjonkoping.se/
City Park. An attempt to gather the history and nature of the neighborhood in one place. A nice place, not least for children. http://jkpg.com/sv/jonkoping-huskvarna/jonkopings-stadspark/
Match Museum. Jönköping had long been known throughout the world for its matches. This museum shows that era and all about matches. http://www.matchmuseum.se/
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In our surroundings
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Habo church. An impressive 17th century cathedral in wood. In the summer there are guides there. https://www.svenskakyrkan.se/habo/habokyrka
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Gunillaberg Cultural Heritage. Well worth a visit to those with cultural or gardening interests http://tage-andersen.com/gunillaberg/
https://www.youtube.com/watch?v=k455spLQqHo&t=223s
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A hearty but good day trip with a car that suits children and adults is to first go to Gränna and try out their specialty polka pigs. You can see how they are manufactured in several places.
Be sure to visit the exciting polar center http://www.grennamuseum.se/.
Then take the ferry to Visingsö http://www.visingso.net/ (do not forget to reserve a place if you want to bring your car. Otherwise you can go by bike. Can be rented on the island). There are plenty to discover and do at Visingsö Temple, castle ruins, stunning scenery, burial mounds and a nice herb garden. Do not miss going with remmalag http://www.visingsoremmalag.se/
https://www.youtube.com/watch?v=NEubeVFXRB0
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The city of Åsen is a city that has been preserved for nearly 200 years. Here life looks like it used to do in Sweden. Lots of animals to pat and house to enter. It is exciting for both children and adults. http://www.asensby.com/
https://www.youtube.com/watch?v=J6hV-aCjG2s
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More tips are available at https://www.visitsmaland.se/en
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Nice nature in the surroundings
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A few steps from the house goes Bankerydsleden. It is a good beginner trail that is only 25 km long and goes in a loop so you can walk all the way and get back where you started.
http://www.jonkoping.se/upplevagora/friluftslivochmotion/vandringslederochstrovomraden/bankerydsleden.4.74fef9ab15548f0b8001e3b.html
https://www.youtube.com/watch?v=JwPcIhLvA9M

On the other side of Risbrodammen you can rent a boat and buy a fishing license. It is about 2 km to go there. Fishing gear and life jacket you have to arrange yourself.

Guided walks are often arranged from Mullsjö, 10 km away. http://www.mullsjo.se/Start-Mullsjo-Kommun/Uppleva-och-gora/Turistbyra/Friluftsriket/Guidade-turer/

There are also several good hiking and skiing trails from, or near, Mullsjö http://www.mullsjo.se/Start-Mullsjo-Kommun/Uppleva-och-gora/Turistbyra/Friluftsriket/Vandringsleder/

A couple of great cycling routes are also from Mullsjö. http://www.mullsjo.se/Start-Mullsjo-Kommun/Uppleva-och-gora/Turistbyra/Friluftsriket/Cykelleder/

In winter, Mullsjö alpine is often open. It is one of Southern Sweden's best slalom bombs. http://mullsjoalpin.se/
Other good slalom huts nearby are Järabacken (http://www.jslk.se/Jarabacken), Strutsabacken (http://ikhp.se/skidor/), Ulricehamns Ski (http://ulricehamnskicenter.se/) and of course Isaberg (http://www.isaberg.com/en/winter) less than an hour away by car.

At Kyrkekvarn you can rent both canoe and island horses. You paddle in the lake The stray, which is a very long and narrow lake. It then continues into Tidan, which flows into Vänern. All the way to Trollhättan is paddling. http://kyrkekvarn.com/

Sandhem is not far from Mullsjö. There starts the beautiful Eriksgatuleden. http://www.skaraborgsleder.se/vandring/se_vandring_mullsjo_eriksgatuleden.html
 
20 km south of us lies the Dummemosse entrance. The moss then extends almost home to us. It is Southern Sweden's largest bog. There are several hiking trails, ski trails and wind shelters. http://jkpg.com/en/jonkoping-huskvarna/dumme-mosse/

In Gränna, the 60 km long Hovaved Trail, which stretches to Tranås, starts. It's great to go, but perhaps to long to take on in a day, given that you have to go back too. Plan for an overnight stay in one of the existing windshields at the far end. http://www.jonkoping.se/upplevagora/friluftslivochmotion/vandringslederochstrovomraden/holavedsleden.4.74fef9ab15548f0b8002647.html

Between Huskvarna and Gränna, the East Vätterbranterna is one of the UNESCO's biosphere parks. http://www.jonkoping.se/byggabomiljo/naturvardochskotselavgronomraden/ostravatterbranternaettbiosfaromrade.4.74fef9ab15548f0b800111d.html It is wonderfully beautiful to go cycling around there and there is a good cycle track that passes by the finest places. http://www.jonkoping.se/upplevagora/friluftslivochmotion/cykling/cykelutflyktsleder.4.74fef9ab15548f0b8001e5a.html

About 1 hour to the east lies Bunn. It's a wounderfull and magic lake. Nature around it has been the model of John Bauer's paintings. A boat trip on it is recommended. http://trolska.se/. You can also rent a canoe in the lake.

A few miles south lies Taberg. A powerful rock that projects straight out of the landscape. At the top you have a great view. For a long time, you were undergoing mining. There only lives the bats now. They can be visited by guide. http://www.taberg.info/gruvan/

Not far from Taberg lies Bottnaryd's forest, south of Bottnaryd. There is old barrskog. http://jkpg.com/sv/bankeryd-bottnaryd-taberg/bottnaryds-urskog/

40 km north of us lies Hökensås. It is Sweden's leading sports fishing area with about 60 small lakes. Here you can even rent your own fishing lake.http: //www.hokensas.se/
Hökensås is also a nature reserve with excellent and shorter hiking trails and skiing http://www.vastsverige.com/tidaholm/b/46160/Hokensas-Naturvardsomrade. If you are interested in Swedish nature, this is one of the best places to visit.

For the children (and adults)

Not far away is Kivarps goatmeal where children can play with goats and adults. http://www2.habokommun.se/sv/mat-dryck/a441014/kivarps-gardsmejeri/detaljer?filter=c%3D20986

In Haurida you can try a hippo safari http://www.skogshast.se/ It is rugged riding on big horses.

1 hour south is High Chaparall. A western city built in the Småland forest. An affordable and exciting amusement park. https://www.highchaparral.se/sv/

1.5 hours drive east lies Astrid Lindgren's world. It's an amusement park where you built environments from her world-famous books. Http://astridlindgrensvarld.se/en/

And one and a half hours west lies Liseberg. The largest amusement park in the Nordics. https://www.liseberg.se/

Golf nearby

There are several great golf courses nearby. Next to all, of course Sand Golf is generally considered to be among the absolute best courses in Scandinavia:
http://www.sandgolfclub.se/
They also have a restaurant and a bar. It is the closest place to go out and eat in the evening.

20 km north west, outside Mullsjö, lies Ryfors Golf. It is the oldest golf course in the Nordic region.
http://www.ryforsgk.se/

There are many other good golf courses within easy driving distance: http://www.golfkoping.se/ http://www.golfsweden.com/golfklubs/o2os/golfclubs_jonkoping.shtml