We had a great time staying with Rikke. The apartment was convenient to all forms of transportation, including the Metro train from the airport and regional trains for exploring areas further from Copenhagen. This flat is just steps from the Torvehallerne market, a paradise for foodies. Rikke provided helpful suggestions for activities and was available to answer questions during our stay.
The flat itself was bright, pleasant, and quiet; an easy place to stay with our two small children. Two playgrounds in Oerstedsparken are 5 minutes' walk, and Kongens Have, 10 minutes, provides another place for kids to run around.
The 5th floor location (6th floor if you count them like in the US) is worth considering if you pack heavily or don't wish to navigate the stairs.