View the "Little Mermaid" statue. This icon of Copenhagen sits at the edge of the harbor, not far from Ameilenborg Square. The small, bronze statue was created by Edvard Eriksen in 1913 in honor of Copenhagen favorite son Hans Christian Andersen.
Rent a free bike. Copenhagen offers the use of free bicycles to visitors and residents. There are more than 1,300 bikes available in the city at 110 CityBike stations. You'll need to leave a small deposit, but it's refundable when you return the bike. Arrive early to avoid being disappointed.
Take advantage of free museum days. A number of Copenhagen museums offer free museum days, usually on Wednesdays. Among those that participate are the National Gallery, the Museum of Danish Resistance, the Museum of Music History and the Ordrupgaard, Copenhagen's museum dedicated to 19th and 20th century French art.
Visit Christiania. Christiania is a self-governing neighborhood within Copenhagen. Founded in 1971, the commune-style town is a throwback to the hippie era. It's an interesting area to explore, with its restaurants, concerts, art galleries and vintage clothing shops.
Go ice skating. From mid-November to late March, a huge ice skating rink sets up in Copenhagen's Kogens Nytorv Square. Renting skates will cost a few kroner, but the skating is free.
