We need to be at the airport at about 4 am for our connecting flight to Amsterdam then home to the USA this coming September. Any recommendations for a hotel really close to the airport, preferably not the very most expensive? Did the hotel offer a shuttle or did you use mass transit?
Hotel near the Central Train Station. Train to airport.
http://www.rejseplanen.dk/bin/query.exe/en
From:København H
To:Copenhagen Airport
Friday, 06.03.20 - Arrival 04:00
03:11 03:24 0:13 0 changes
I'm not sure what you are asking that https://www.booking.com (or any of a number of other search engines) could not answer.
If a hotel is close enough to require only 5 min transport you could as well stay in the city with 15 min of transport. So I recommend to use one with walking distance (Comfort or Clarion). If you can walk you don't have to add time for possible transportation hiccups. I believe check-in closes 40 mins before departure. Arriving 1 hour before departure is enough, add 15 minutes if you want to be really safe.