I would recommend rikke place, due to the location is close to the airport and the city center.
If you come from the airport, just buy the 24hrs or 72hrs ticket. Take the metro and stop at the kastrup st. From there take the bus number 2A and stop at the Holmbladsgade, and walk to her place about 200meter.
Bus number 2A will also take you to City Center and the bus station are very close to the central copenhagen station.
It was a good 6 days stayed at her place.
The only things that you need to consider is that, her plase does not have the elevator, you have to walk up to 4th floor.
Other than that it was a very good place to stay and the grocery store it just infront of her apartment about 30 meter walk.