Rent a room in the nice Frederiksberg very close to the zoo with free parking. The building is from 2001 and the room contains everything you need to have a pleasant stay:
Close to Frederiksberg Garden, Søndermarken, Frederiksberg Castle.
Only 10-15min with to Tivoli and all the attractions in Copenhagen.
TV, fully equipped kitchen, free parking, playingground,lift.