Originally Posted by GUWonder
It seems like the Hilton Copenhagen Airport hotel sells the Copenhagen Card. It's right outside the airport building (walkable); just follow the sign or ask someone. (When exiting "baggage claim", go straight ahead and slightly to the right, past the DSB/train ticket sales booth, and then exit the doors on the right at the end of the airport building. The Hilton is just outside.)
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You can purchase the Copenhagen Card at the hotel services desk in Terminal 3. Once you leave bagage claim and costums, its at the left side of the terminal.