Trip to Denmark

Depends on what you would like to see.
Usually I visit the worlds oldest tivoli when I visit copenhagen. The park is amasing. You don't pay any entrance and are allowed to bring food with you. That leads to you are also able to get a good meal here for nearly no money. I posted some pictures on this park on http://bikedenmark.nu/strandvejen/dyrehavsbakken.html
Another trip I suggest is using the boat in copenhagen harbour. Costs maybe 2 $ and then you are able to see nearly the whole harbour for a couple of hours.
Then the trip from copehagen railwaystation to Byhavn is also exciting. You are passing stroeget, lot of ancient buidlings and many small coffee shops with affordable danish sandwiches and drinks like coffee, soda or beer. See more on http://bikedenmark.nu/copenhagen/index.html
Other towns I suggets you see is Aarhus, Ribe and Haderslev. Old towns with a cosy atmosphere.