We are currently in Copenhagen and had the best tour ever with a company called Segway Cruise Copenhagen. We were a family of 7 traveling together: Parents, three teenagers and two elderly grandparents. They arranged that the 5 of us went on a segway tour and my parents (the grandparents) had a rickshaw which followed the tour. They gave radios to my parents as well so they could hear what the guide was saying.
It was so much fun, their service was excellent and you really got to know the city. If you are there in summer I would really recommend this place. Segway Cruise Copenhagen Do it on your first day in the city if possible - it gives a great overview and we went back to several of the places we had seen on the Segway tour.
Another great place we went to was Cap Horn in Nyhaven - great restaurant with the traditional open faced sandwiches. Really enjoyed this!