Having been to Copenhagen once before I knew exactly the area I wanted to be in. We had such an easy walk to Nyhavn, Old Town, and Tivoli Gardens! Also, in the little square near the apartment, there are 3 restaurants, and a GREAT coffee shop, Social Brew. Their breakfasts and pastries are to die for! Very convenient.
As for the apartment, it was immaculate! So nicely appointed. The bathroom is huge with a tub and a separate shower. Everything you needed was at your fingertips. A washer/dryer saved us and the bed was very comfy. The area and building were quiet. One note: this is a 4th floor apt. with no lift. As we are a bit 'older' (in our early 70's) it was a challenge with our luggage but otherwise presented no problem as we are very active.