Best way is by taxi from the rank. Second best is 197 airport bus to the Leidseplein.
You should probably just do as the rest of the city does on a Sunday and get some sleep if they will allow you to check in that early.
Otherwise on a Sunday morning not much to do. The city is pretty dead then.
Canal boats (e.g. Blue Boat company near the Marriott) will run on Sun morning, but maybe only from 10 AM or so. Good way to discover the town and rest at the same time ;-)
All the best,
<Erik> & [Sandya]
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