If travelling out of Copenhagen on an early flight, I would definately recommend Hilton Cph for the night. Located right next to Terminal 3, it's easy to come to (and from) the airport. This hotel is pure luxury and the rates are fair. What's most impressive is the noise cancelling. Even though planes passes your window, you're not able to hear them.

This airport hotel is connected via an underground walk way which takes you also to the metro station, 14 minutes away from centrally Kongens Nytorv. In the spacious lobby you’ll also find the delicious buffet restaurant (incl. breakfast buffet). There’s a SAS-selfcheckin-terminal at the exit for your next Staralliance flight. My spacious kingsize bed room on the 10th floor, given by my gold-tier, had everything for a pleasant stay: luggage try, ironing set, inroom safe, desk with free LAN connection, large bathroom with separate tub and shower. The fitness room had some machines, and aside is a spa. Scandinavia is a pretty pricy region, so I highly recommend to book the room far in advance.
My stay at the airport with short city visit was absolutely pleasant.

The hotel is well located next to the terminal and also next to the car park where car hire companies keep their cars.

The room was spacious and stylish. The room comes with a Bang & Olufson TV. The bathroom is also well equiped and very spacious.

The staff were well trained,helpful and polite.

The room service menu was expensive, in addition, you have to pay an extra 35kr to have the food brought up to you. But the food was sensational. I have stayed at many hotels and no doubt this hotel provided me with the best tasting room service meal ever.

Overrall, I had an excellent stay at the hotel and would recommend the hotel to others.

God bless Trip Advisor: the glowing recommendations made me consider this hotel. Turned out to be fabulous. We arrived at about 7am after a 24 hour flight. I had travelled with my child who was beyond cranky; hissy fit and luggage being thrown around. It was a blessing to be able to walk for 5 minutes through the covered walkway from the terminal to the hotel foyer. Even though check in time was 2pm they let us check in immediately. Breakfast buffet was expensive but good AND children under 11 are FREE! Room was large, well decorated with bed and office type furniture. Great bathroom with bath, shower and quality products. Despite proximity to airport there was no noise. The hotel itself is amazing: wooden blond wood with interesting art. Its floors are set around a huge, light filled atrium. There is a large lounge at reception and numerous restaurants and bars. I found the staff to be professional and helpful. This hotel's proximity to the airport terminal is an asset. There you can exchange money, buy all public transport tickets (look at the pass which allows you to travel on all zones and take one child under 11 for free), get the free bus to other terminals, shop at a fabulous 711 store or get killer coffee. I was sorry to leave this hotel the next morning and I would stay again.