A very nice place not far (10-15 min by bike) from the city center. Lots of places to eat & shop. Nearby church may gently wake you up at 8am on work day :-) (though it's not loud or disturbing)
The apartment is very cozy and has everything one needs in a trip: great kitchen, washer, dryer, iron etc. Bathroom it surprisingly comfortable for such a small one, though definitely lacks a mirror. Another small detail missing are ceiling lamps in the rooms, but it's ok.
All in all, a great place to spend a week or two in Copenhagen!