Mette's apartment in central Vesterbro was amazing. It is very central, with lots of restaurants, bars, and other lively things to do footsteps from the apartment. We were traveling with a toddler under 2, and the place was heaven for him: a whole room full of toys and lots of space to roam. They also have some cool art on the walls with great taste in decor.
The kitchen was also well equipped for cooking great meals, and the setup was very nice. The only downside is that it's on the fourth floor with no elevator. But, after you get your bags up, everything else is awesome.