Had 2 nights in Copenhagen as a start to my holiday, & we loved the place. I'm sure the great Summer weather helped, but we both said we'd like to return.
Easy to get to from the airport, & we stayed at Hotel 27, about 10minute walk from the station. We thought the near-by area was great for restaurants & bars, & we didn't have a bad meal the whole time we were there.
Saturday was our only full day there, & although it was quite a bit of walking, we covered all the major sights of the city.(Christiana/ mermaid/ etc.)
Yes the city is expensive, but a lot more cities in Europe seem to be catching up pricewise for drink/food, so it may not be too bad in a few years time.
Also, the people were extremely friendly & helpful for anything we asked for, whether in restaurants, or asking directions in the street.
& something I didn't know before I went, is that Carlsberg make quality beer as well as that stuff they send over here! weiss & dunkel, & at least 3 others I tried while I was there, all better than the lager.