If you walk or bicycle, you can eliminate transport costs entirely, and Denmark is well-suited for both ramblers and cyclists. Denmark has a comprehensive network of walking and cycling routes that offer both a safe and easy way to get around. The relative distances in Denmark mean that you’re never far away from the next supermarket or lodgings. If you are to cross the Great Belt (“Storebælt”) or the Øresund Bridge you will need to buy a bus or train ticket, as you’re not allowed to use those bridges on foot or by bicycle.
Free-to-use city bikes are currently being offered in Frederikshavn, Aalborg, Aarhus and other cities. The Copenhagen city bike is a great way to see Denmark's capital city but it costs 25kr per hour.
You can save a lot of money when travelling by train in Denmark. Especially when crossing the Great Belt, which entitle you to buy so-called “Orange billetter” on selected departures. There are other forms of discounted tickets available, including the senior tickets with up to 50% off and tickets for young people. Kids under 12 years old travel for free with an adult. Consult Danish Railways DSB's site for more information on cheap train tickets.