I can't recommend Heidi's place highly enough. It's a very comfortable, stylish apartment with everything you need as a base for a city break. The location is fantastic as well, with good links into central Køpenhavn, a nearby supermarket (5 mins walk away), and the Amager beach just down the road. Heidi is an extremely helpful host, and was on hand to help with any questions we had. Myself, girlfriend, and her 9 year old daughter all had a fantastic stay!