Ordrupgaard is a beautiful museum with lots of interesting exhibitions. Right next to the museum Finn jul's house is located, a famous danish designer and architect.
This bridge leads from the center to Christianshavn and Amager. Christianshavn is a really sweet and old area, with a canal with lots of boats, nice restaurants and cafes. Right next to Christianshavn is the Freetown Christiania.
Morgenstedet is vegetarian restaurant located at the free town of Christania, serves the best soups in town and other excellent organic food. Despite it’s name ”the morning place”, it’s also open in the evening.