We caught the bus to connect to a train to Hamburg on time at 2:40. The bus was OK but a train would have been nicer of course. We realised we needed to be on the bus thought to take a ferry away from the island Copenhagen was on. Turns out our ferry was late. By the time we got to our connection we had all missed it (3 buses of people in total). Our option was to wait almost an hour until the next express or take a local to Lubetz then transfer to another train to Hamburg. We took that option as that train was actually pretty convenient. We finally made it to Hamburg just before 10pm so we didn't see much until today. We checked out of our hotel in Hamburg this morning then went on a walking tour of the city for about 3 hours. I actually really liked the city. The brick buildings and unique architecture. It really felt like a city with heart and soul. I hope I get to visit again someday.
We caught a train out of Hamburg to Cologne. It was a 4 hour ride and we got in town with just enough time for dinner at a restaurant with actual German food. Out first view when we left the train station is the cathedral at the top of this post I think it bodes well for the rest of time in Cologne.