This is what we did instead of waiting for a taxi or paying Disney the ridiculous transfer price. Walk 300m from the cruise terminal to a yellow bus stop opposite the UNICEF building. There is a little hut where you can buy a ticket to Osterport Station( 48 DKR for 2 adults, 2 children). Jump on the 25 or 27 bus to Osterport. It's a 10 min journey , if that. You get dropped off at the side of the station. Once off the bus, walk straight ahead and take the first right to the main entrance. In the station buy a ticket from a self service machine to the airport (72 DKR). Trains leave every 20 mins to the airport from track 4 and go direct. Around a half hour journey and you're there. If you want to go to the city centre, it's just 2 stops along from Osterport. Had we went with Disney transfers we would have paid $160 for 4. Instead we paid $16. It's a no brainier and the public transport system is really easy to navigate in Copenhagen. By the way, if you're travelling to the port this way works too. Be aware that the airport in Copenhagen is the main hub for flying in Scandanavia and is really busy. Leave yourself plenty time to check in and go through security. Queues were crazy yesterday.