By Air:
Air travel is possible between the major cities of Denmark, and fares, especially in the off-peak season, can often be heavily discounted. Most flights do not take very long, and are a convenient way of travelling, especially if you’re restricting yourself to the large-city circuit.
By Road:
Cars can be rented in Denmark, but considering the fact that the country’s public transport is so efficient, hiring a vehicle doesn’t work out very economical unless you’re travelling as part of a group. Roads are, fortunately, very good across the country, with an efficient breakdown service, plenty of petrol pumps and extensive road networks.
If you’re of an adventurous bent of mind (and body!) you might like to hire a bicycle - cycling is one of the best ways of appreciating the beauty of the land.
In addition, the country has a very good network of buses, with lots of regional long-distance coaches, both fast and efficient.
By Train:
Denmark has an excellent train network operated by the DSB (the Danske Statsbaner), with regular and fast services linking various regions. Reservations are advised on all trains, as they can often get pretty full; another wise decision would be to opt for one of the popular travel passes available- besides being economical, they also allow travel on some of the country’s bus services.
By Waterways:
Regular ferries link Denmark’s islands to each other, and are sometimes the only way to get to the more farflung areas. Alternatively, if you need to travel by sea, and like a bit of adventure, try hiring a boat and setting off on your own- there are rental agencies in coastal towns that hire out boats.
A note of advice: the DSB has a very handy booklet, called a køreplan (a timetable) which lists all ferry, train and bus services operated by the DSB. If you’re going to be using public transport, get one of these- it’s worth its weight in gold.