Nice, clean and central apartment with balcony close to Christiania and downtown shopping. Very easy to get to with metro from the airport.
Rent a bike (city-bike) and you can within 10-15 minutes get to;
Strøget (shopping street in the center), Christiansborg (Danish Parlament)
Amager Strand (Beach)
CPH Street Food (Papirøen)
If you choose public transport its also easy. The buses are just down at the street and two metro stations very close.