We did all the usual things - saw the palaces and checked out if Mary and Fred were home (they weren't but Margrethe was, as evidenced by the swallow tail flag atop her palace), gazed at the Little Mermaid (yes, she is little, and kinda bored by the expression on her face) and went to the gorgeously light filled art gallery.
We also hired bikes and cruised around the town, in what would have to be one of the best days we've had away. It was just so lovely to peddle away at a gentle pace, stopping when we felt like it, and feeling so safe and secure in the bike lanes.
The one thing that really has stayed in my mind, however, is the Museum of Danish Resistance. Tell you what, if you want to find yourself blubbering away hopelessly, pop in there and read the final letters to home written by Danish Resistance fighters upon finding out that they were to be executed for actions against the Germans during WWII. They were all so stoic, and accepting about the consequences of their actions. I was bawling like a baby at the courage exhibited by those passionate young men.
The entire museum is wonderfully done, and well worth a look. As is all of Copenhagen itself. I will definitely be back.