We'd definitely recommend Mette and Steen's place. The apartment is super charming and was perfect for us (4 adults and 1 baby) for a weekend. It is located in a lovely residential area but also very close to the big road/public transport, and a nice bakery around the corner. It is around 15 minutes bus ride to downtown Copenhagen or 20 minutes by bicycles. We even walked it once and stopped by some small flea markets along the way. Mette was quick in her communication, although we didn't get to meet her, everything was very well-organised. We wished we could've stayed longer, so maybe we use it again for our next visit :-)