If they don't have their own shuttle service, (a couple of hotels we stayed in, did not), the doorman will call a cab for you. The port is very close to where you are staying. We were right down the street from you and it cost $12 for the cab. As far as the airport....right outside there is a taxi stand with cabs lined up. VERY EASY, so don't stress it. Good luck and happy cruising.
READY FOR THE OLD FOLKS HOME
OR HAWAII, WHICH EVER COMES FIRST