I went to Copenhagen for a weekend and I stayed in this amazing apartment, which is located in a really nice and quiet area. The city centre is within walking distance (it took me 30 minutes to walk to Christianshavn). But in case you don't like walking, there is a metro station really close to the apartment, which is on the same line as the Airport. So, it was really handy.
The apartment itself was very clean and warm, and Maj was a fantastic host.
I highly recommend this apartment.