We had a nice - and way too short - stay in Astrid Andreas flat in Nørrebro. The communication was great, although we booked quite spontaneous. You'll find everthing you need there, it is a bright, cozy and well equipped flat in a beautiful old house.
We had our bikes with us, so we didn't use the public transport. It is just a 10 min ride enjoying the perfect bike infrastructure to downtown Copenhagen.
Mange tak!