This was a great stay for our trip to Copenhagen! The apartment was very cozy and a perfect location for us. It is very well decorated, and plenty large enough for 2 people. The hosts parents were filling in on host responsibilities because Emma (the host) was out of town. They were very sweet and responsive, and truly went over the top to help us out. Would highly recommend dealing with these great folks!
City center was a very short walk(10/15minutes) and there was lots of nearby public transport if you wanted to go further. After 4 days in the area, we found many of the closest eateries were just as good (or better) than the really busy and more popular spots in city center. It feels like a more residential neighborhood, so it's a but quieter than city center (in a good way, imo)
We got the Copenhagen city card and had unlimited use to all of the very efficient and user friendly public transport in the area. It also included free entry to lots of museums and nearby attractions.