I have a modern apartment (140 sq/m - which is about 1500 sq feet) in a cool, Nordic style and located in the Frederiksberg neighbourhood. After five years renting a room out on Airbnb, I now rent out the whole flat when I am travelling on business. It's perfect for families. Ten minutes to the city centre by bicycle or bus. 15 by metro. Easily accessible by Metro from the airport and on two major bus lines. All the amenities you need.
Unavailable: Smoke detector
Unavailable: Carbon monoxide detector