We had a great stay at Anne Katrine's apartment. Even if it's a little outside of Copenhagen, you can get really easily to the city center within 15 min. by taking the bus. The bus stop is in front of the house and you only have to wait a few minutes. Otherwise you can also take the Metro.
This was perfect for us as we could park the car for free and live in a quieter area, too.
The apartment has got everything you need an we didn't miss anything.