Consider yourself extremely lucky to be able to spend a week in Gitte's apartment, as I did with my wife & two kids (ages 9 & 14). Gitte's pictures tell the complete story--her apartment is extremely spacious, beautifully appointed, and only in your dreams could you keep your flat this neat and clean. The apartment is also very quiet. You will no doubt sleep well, as we did.
We immediately felt at home sitting in the kitchen that overlooks the lush, shared garden. Had my kids been a bit younger they would've loved frolicking in the open space chatting with the other children playing there.
Gitte's home is perfectly situated within Copenhagen. In mere minutes you can find yourself at Nyhavn, the reservoirs, or Tivoli. Even jaunts to Christianshavn and Amalienborg are walkable.
Lastly, and importantly, Gitte answered all my questions promptly and thoroughly.