Copenhagen Meetpacking district is a good place to go out for a beer. Duing the summer the hole place is packed with young people. There is several bars, galleries and restaurants in the area.
For wine purchasing a good place is Rosforth & Rosforth. Even better is the location, under the knippelsbro bridge, very hidden.
Also nice for their professionally pleasant service and knowledge. And also for the interior.
Especially lovely in the autumn, Frederiksberg Have is a really grand park in the middle of the district— Freckled with ponds, streams, and an old palace atop a hill in its centre.