Around the district of Södermalm are good starting points for cycling. It’s easy and close access to the Nacka nature reserve which is full of great bike paths in the hilly forest.Are you supposed to ride in the city you can also find good bike paths that often goes along the water. Stockholm is a real water town where even a canoe can be a great way to see the city from a different angle. Buy a card for cycling and bikes are available for pick up and drop almost everywhere in the city. See www.citybikes.se and read how it works. You pick a bike and leave it to any station within 3 hours.