Just spent the weekend in Copenhagen. Stayed at the Tiffany. Small hotel with decent rooms. Had a room on second floor. Its located near the main train station and close to Tivoli and main touristy places.
The neighborhood looks a bit shady in the day, but at night surprisingly it was cleaned up. Only a few fellow tourists walking back to all the hotels in the area. However, had to keep the windows closed at night to keep off the oaccasional drunk from waking me up.
The breakfast is a joke, so dont count on it, many better options just within a block from the hotel. The staff at the reception was very friendly and helpful. I had the same feeling from almost everyone i talked to in Denmark. Very friendly people.
Oh....one note of caution, like most places, the hotel charges a 3 to 5% premium on credit card payments. Take cash if you want to save on this from a ATM.
Overall ok hotel for a weekend rip.

We stayed at the Tiffany for 5 nights over two weekends in April
'07. Both rooms were bright, large, clean with a modern bathroom. The breakfast was enough to get the day started and actually, we rather liked the convenience of eating in our room while we got ready
to head out for the day. The location allowed us to walk to the train
station in less than 5 minutes to catch the direct airport train which was a huge advantage for morning flights. We also were within a
short walk of the city center. If we get to Copenhagen again, we'll stay at the Tiffany again.

After lots of research, I booked the Tiffany Hotel 6 months in advance, and got a great rate by doing that. The hotel was wonderful.
Our room was on the top floor, very bright, modern, and clean. The breakfast is a good way to start the day, but, after 6 days, a little
boring. The staff was extremely helpful. Got a great recommendation for a real Danish meal for out last night there...Klubben, off the Vesterbrogade, about a half mile from the hotel. The convenience of the hotel to the train station is a plus. Book this place. You can't go wrong.

My wife and I and our 3 year old daughter stayed at the Tiffany in late June, 2006, on our way to Spain (frequent flyer tickets -- don't ask). We found it basic and clean, very much as described by others here. The street below can be noisy on long summer nights and you can hear the fireworks from nearby Tivoli Gardens. But these are brief -- about a quarter of the show you might see at a baseball game.

The little sandwich shop next door is small but good (although not cheap -- nothing in Copenhagen is cheap) and a short walk in the opposite direction from the train station leads to some nice restaurants populated by locals.

But it's the proximity to the train station and Tivoli that makes this such a great place to stay. It's easy to get to and from the airport, and to other places in the city via subway, and many things are within walking distance.