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The port of Miami is indeed only 5 mins away, you however are leaving from FLL, which is some 25 miles away. If you booked your hotel package through Princess it is likely that transfers will be included, if not a Taxi is the quickest safest option.
Cab - as with any journey in the US.
Hello I think that hotel is about 5 minutes away, by cab, from the Port of Miami. Do be careful in the Downtown part of Miami it can be, lets say, a difficult area to be in. Heathe.