Copenhagen city pass
If you don't want to worry about calculating zones and time, you could buy a so-called City Pass. They are available in 24-hour and 72-hour versions, and they allow for unlimited travel in zones 1 to 4 for the designated period. You simply stamp your City Pass the first time you get on public transport in Copenhagen, and it will be your valid travel ticket until the 24 hours or 72 hours have passed.
Journey Planner (Rejseplanen) is by far the most effective way of getting up-to-date travel information, plan your journeys or simply find the quickest way from A to B using public transport. Access Rejseplanen any time on your computer, smartphone or tablet, or get the Rejseplan app.
Denmark's National Rail
DSB is the Danish national rail operator. It consists of an over and underground rail network that covers most of Copenhagen and can take you into the rest of the country, as well as the rest of Europe. The main central Copenhagen train stations are Copenhagen Central Station, Nørreport, Vesterport and Østerport.
The Metro is the latest addition to the Copenhagen transport network. The driverless trains run frequently throughout the day, sometimes as often as every three minutes. Sundays to Thursdays between midnight and 5am the metro operates a less frequent service, with trains running every 20 minutes or so. The Metro is a great and simple way to get from Copenhagen Airport, with a journey time from the airport to the centrally located Nørreport Station of about 15 minutes.
Buses in the capital run frequently and allow you to cover big areas of the city in relatively short time. If in doubt, just ask the friendly bus drivers if they are going to your destination. The buses also operate night services on certain routes.
Harbour Buses are operated by the same carrier as normal buses, and all ticket types are valid here too. Harbour buses are a great way to see Copenhagen from the various waterfronts and they go past many of the city’s well-known sights, including The Little Mermaid, Nyhavn, Christianshavn and the Royal Opera House.
The Danes are bicycle mad and Copenhagen is an ultra-friendly bicycle city, with broad, designated bicycle lanes on most streets across the capital. You can learn more about Copenhagen as a bicycle city here. It is really a great way to see the city, and you can get around town quicker than by car in most cases. Copenhagen has plenty of places to rent or buy bicycles. You can also hire rickshaws to take you around town. These are also considered safe and with the right driver you migt even get a small guided tour. Check with local operators for fares as the general ticket system doesn’t apply.