Despite its size, it is surprisingly easy to get around as Copenhagen is one of the world's most bike-friendly cities, and it's definitely the best way to see the sights. It's no problem if you don't travel with a bike (and who does?) because you can take a 'city bike'. You basically take a loan of a bike from any one of the many racks around the city for around $5, and when you return it to any rack you get your money back. Since the landscape's so flat, riding around is a breeze.
You can visit the Little Mermaid - the famous bronze statue inspired by Hans Christen Andersen. Another highlight is Amalienborg, home to the Royal Family where you can check out the changing of the guards. After that you can't miss Stroget - the world's oldest and longest walkway. Along here you can check out famous Danish designers such as Georg Jensen and Illums Bolighus, and, of course, the famous Royal Copenhagen fine china, made by order for Queen Margaret herself.Tivoli would be your next stop, located in the heart of Copenhagen. It is a magical combination of gardens, pavilions, entertainment and amusement rides, and if you're looking for a place to eat there are about 30 restaurants on site. After you've shopped and cycled your way around you can take a relaxing boat ride through the historic canals of Copenhagen.