When I think of Copenhagen I think of the sea. There are many wonderful places to stay in this city but I feel fortunate to have stayed in Christianshavn on Jesper's boat. When I reflect on this trip, years from now, I am confident I will REMEMBER staying here.
Christianshavn is an incredible community, a mix of ancient buildings, converted warehouses, narrow streets, and back alleys. It's a small island surrounded by canals and linked to the rest of the city by many bridges. One side of the island is thronged by boats, this is where you'll stay.
The space is compact, yet comfortable. My room and the bathroom were very clean and the bed was soft. Jesper was a great host, I enjoyed chatting with him over messages and meeting on my first evening, he makes you feel at home.
The only thing which might make you not enjoy staying here would be if you don't like small spaces. I was traveling alone, but two larger people with lots of luggage might find it tight.
Would recommend!