We spend few days in this house, sightseeing Copenhagen on bikes (which is by the way the only right way to do this). Distance to center is 6-7km and quite simple, yet you stay in lovely house, in quiet and green,cosy neighbouhood.
House is spacious, comfortable, with large livingroom area. Cats are friendly and non-disturbing, they stay outside pretty much majority of time. Be aware about 1 thing - there might get hot in bedrooms upstairs in warm days, so it might be necessary to use AC (which is available) - this might be the only inconvinience, but only for people with allergy. 100% recommending !