My two daughters and I have just stayed for 4 nights on Marianna's house boat Gea. We absolutely loved the experience. It's just a 10 minute ride by taxi from the airport costs 180 DKK but you can go by bus. The bus stop is right next to the boat and no. 34 takes you to central station. Alternatively you can walk across the bridge and take the bus boat which we did every morning.
The boat was warm, relaxing and very comfortable. The kitchen was well equipped and Marianna had kindly left provisions in the fridge upon our arrival.
Books and a useful map were left to help us make the most of our stay. Marianna recommended where to eat and go and booked our return taxi.
I would certainly recommend staying on Gea, an experience I won't forget.
Thank you Marianna