Buget Europe: Copenhagen
Continuing my review (and praise) or the Affordable Europe series in the NY Times, I just realized that I have unfairly remarked upon the absence of Stockholm from this review. As it seems, the editors did not treat Scandinavia unjustly and did feature Copenhagen, the Danish capital. While their choice is arguable (why go for Copenhagen and not for Stockholm? after all, IKEA sells better than Carlsberg), there are too many cities in Europe to be covered in this 16-city review.
If you read the article, you will find out that most top Copenhagen museums are now free of charge, and the new Copenhagen Opera House is much revered.
Also, you might want to consider the following hotels for your stay:
Avenue
Clarion
Comfort Esplanaden
First Skt Petri
Opera
If you are equally divided between Sweden and Denmark, consider this package Copenhagen - Stockholm combining both capitals.