I stayed four nights with my mother in the very nice house of Tine and Mario. The neighborhood is calm yet very close to the city center, the room very cozy and spacious enough. If you are driving to Copenhagen, this location has the bonus of free and safe parking. We rented bikes at a place Tine and Mario suggested, it was the best way to discover the city!
We hadn't planned anything in advance but Tine provided a lot of flyers and articles and lists of things to see and do. I can definitely recommend you staying here.