We will be leaving on a cruise in August and need two affordable nights in Copenhagen prior to the departure. What part of town should we be staying, and should we be close to the Freeport departure dock or does it matter.
We stayed at the Radisson Blu Royal hotel, two years ago. The hotel is right next to the railroad station. It is directly across the street from Tivoli. We could watch the fireworks, every night at Tivoli. The hotel is great for being close to everything you want to see. We walked over to the dock to take a ride on the canals. Our room was lovely. We enjoyed eating breakfast in their downstairs restaurant, every morning. It was a bit steep, as is everything in Copenhagen. We watched all the zillions of bicyclists regularly going by the hotel. Our hotel room was high up and on the main street (forget the name). It was totally quiet though. We had a great view of the city.
Check out the rates for the Cab-Inn chain in DK. There are at least two in Copenhagen (one not far from the main train station and Tivoli). Their rates are much less than a lot of hotels, and they are very suitable for a short stay (longer if you are always out and about). The name is an example of Danish humor: The hotels are remodeled older buildings. The interiors have been gutted and the rooms (all w/private showers/toilets) resemble the cabins on Scandinavian ferries. The hotels also offer a solid buffet breakfast.
We stayed at the Phoenix (actually booked the Strand but they sent us to Phoenix) and Opera - before and after our cruise out of Copenhagen. Both (all) were $125 (US) per night for a double including breakfast (breakfast is normally an extra $10 each per person). I really like the area at the north end of the Stroget - Kongens Nytorv and adjacent Nyhavn. It's amazingly convenient to the airport by metro. This talks about how to get to the cruise port: http://www.cruisecopenhagen.com/passenger/transport/cruise-terminals By metro, Norreport is one stop from Kongens Nytorv (going away from the airport). We used the Copenhagen card, both before and after the cruise, that included transport through all of north Zealand, plus a lot of admissions.
We have been to Copenhagen three times and liked the Savoy Hotel which is near Tivoli Gardens. It is not as expensive as some hotels and is an easy walk to The Stroget. The rooms are good and the free breakfast is very nice. The convenience of walking to many interesting places from your hotel is a big plus. Being at the docks will not be such a good location for sightseeing. You will have a large window of time to board your cruise and can take a cab from The Savoy with plenty of time to spare. A friend told us that when getting a cab in Copenhagen that it is cheaper to hail a cab from the street than to call in for a cab. The reason is that they set the meter from where they are when the call comes to them. He has lived in Copenhagen all of his life and gave us that tip. You will like Copenhagen, it is a fun city!