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.
Between colony gardens in Amager lies one of my favourite local spots: Baghaven. Good food and cosiness is in the forefront. Various events with and without music gather people on the square at Diamantgangen 75. A very local experience. Great for families, children, young and old.
Copenhagens bikelanes is all around the city. Its one of the best cities in the world to get around on bikes, there is even free bike servicestations around town:)
A. Petersen is a hidden gem near 'Kløvermarken' in Copenhagen. This place is outstanding, beautiful and very inspiring if you are looking for danish furniture design as well as contemporary art. Definitely worth a visit. More info at: www.petersen.dk / extract from site: At A. Petersen you experience good craftsmanship up close. In our gallery the joint efforts of the best designers, architects and craftsmen becomes tangible and visible. With us, new furniture is created and older pieces are restored and revitalized.
In the summertime you can take the Metro directly to the beach. And if you're over the crowded white trash tanning and blanket sex scene, enter the hidden away mens or womens area located in the big wooden beach bathhouse. Here you can lie naked and enjoy the sun on your private parts while reading a novel or surfing your iPad. Expect lots of gays and lesbos which can be a curse or a party depending on who you are as a person.