At which dates will you be in which cities?
There are no games in Copenhagen itself that weekend, but Brøndby are playing against Aalborg (AaB) in Brøndby on sunday the 10th of may., which is a suburb of Copenhagen, it's about 20 minutes by train and a little walk to the stadium. This could be an interesting match, Brøndby (whom i support) has a big fanbase and a long tradition and AaB are the reigning champions.
Note that the schedule is subject to change, all games are usually scheduled for sunday at 15.00 this far in advance but are likely to be changed, depending on which game the TV company finds most interesting to put on at 17.00 on sunday. They might also be moved to friday or saturday.
As a dane I am most familiar with the Danish league, but i can find dates for matches in Sweden and Norway as well.