I don't think you could find an apartment that's situated in a cooler part of the city. Not that there are many "uncool" neighborhoods to begin with. But Gretel's apartment is in a really convenient area where you are a few blocks away from a wealthy neighborhood, but also just a quick crossing of the train tracks towards the students hangouts. Which I really appreciated. The Danes do start making some noise on the streets starting at around 9pm on the weekends, but you should be out having your own good time, so you won't even care. The apartment really makes you feel like you're living like a native, and I found it to be even bigger than the pictures make it feel. Gretel was kind enough to greet me in person, and was very responsive to any questions I had. I couldn't imaging picking a nicer apartment to stay while in Copenhagen!