We fully recommend the appartment from Alexis for a city stay in Kopenhagen.
We were as 3 people in the flat for 4 days and felt quite comfortable during our stay.
The area is safe and in a good distance to center of Kopenhagen.
In the District Amager you can find by near walking distance a lot of bike rental shops and local food/restaurant opportunities.
As well we recommend the Amager Strandpark.
Best regards
Stephan