Our apartment is located in the best yard of Vesterbro. Where it is possible to hang out (when the weather is nice) and it feels like a garden. Here you have a central location as a tourist in Copenhagen with easy access to transport, playgrounds (if you have kids) and a lot of restaurants from all over the world. Also walking distance from the meatpacking district and the harbor, where it is possible to swim.
You should rent a bike to get around!