THE TOTAL RELAXER
Go to hippie freetown Christiania, ending at the human friendly and pretty, big beach of Amager Strand
1) Start at Christianshavn Torv. Have a Danish from one of the bakeries at the Christianshavn Square. Maybe a coffe.
2) Then bike up Prinsessegade into the freetown of Christiania, cycling allowed (most things are allowed here, except usage of hard drugs. Smoking marujuana is allowed, but be careful.)
Its a 40 year old hippie community and freetown where people live, smoke and sell marijuana, and make their own rules. Truly nice spots, interesting stuff everywhere. Do go further into the city of Christiania than just the Pusher Street and see how modern hippies live; sit by the lake, chill out or go directly to the beach if the weather is warm and sunny.
Follow the lake towards Løvens Bastion, take the route on Torvegade/Amagerbrogade, through the Island of Amager, go left and end up at the beach of Amager Strand, a huge area of sand, water and pure joy, where you can cycle on a fun road crossing the beach.
If you are tired or a little too chilled out, you can take the Metro back and be in the city again in a matter of minutes. Or bike home back into the inner city in approximately 15-20 minutes, hopefully tanned.