Do you have transportation from the airport? Also transportation to the pier that Royal Caribbean sails from? Fees for transportation?
The hotel has a shuttle service that only runs in a small area downtown. A cab from the airport will be $40-50. The pier area is not really within walking distance and too far for the hotel shuttle. A cab from the hotel to pier was approximately $15 and we gave the drive $20 because we had lots of luggage.
Their website offers free 24 Hour shuttle service to selected locations
the hotel does not have a shuttle service. there are large buses that make the rounds to hotels from the airport, there is light rail to a central station then public transit or taxi. can't answer about shuttle to the pier area.
Get an answer from Hyatt House Seattle/Downtown staff and past guests.