I live in the city, in fact 20 min. walk from the center. Here's a map of Copenhagen - if you can find the red square which surrounds the center, I live to the left of that - right where it says Nørrebro. I can see the park from my window, there's 5 min. walk to the artificial lakes which run across Copenhagen.

http://www.euroave.com/maps/00mapx.php?xcity=copenhagen

I would love to live to the north of Copenhagen, but a little country village would also be nice, preferably close to a river, or on the seaside with mountains behind.