Hello! We sailed out of Copenhagen in August 2022.
Instead of booking at the airport, You'll want to look for Copenhagen City Center.
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In the screenshot above, you'll see the Airport in the bottom Right corner. There isn't anything much but the airport at the airport.
In the center of the picture, you'll see the BIG Copenhagen. That's where all the walkability/walkable activities and sightseeing is. In order to get from the airport to the center of town, there is an easy train with luggage racks that is inexpensive and easy to use. The train station is under the airport. You would take the train to "Kobehaven Central Station"
In the very top of this picture are the Oceankaj terminals on the top right. Easiest way to get to Copenhagen from the terminal is a taxi. They are usually pretty inexpensive.
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This picture shows the heart of Copenhagen and the Copenhagen Central Train station right outside Tivoli Gardens.
There are lots of great options in this area for hotels. We stayed at the "Wakeup Copenhagen" you see right by the river in the bend of the train tracks. (Very basic hotel, wasn't bad but would look for something nicer.)
Disney Cruise Line's partner hotel is the Tivoli Hotel and Congress center here on the bottom of the picture.
Wakeup Copenhagen offers Luggage Lockers in their basement for an inexpensive fee. Definitely could ask to put your luggage in there so you don't have to take it all the way to the airport first. Maybe something to consider.