I'm not sure whether you're talking about the Port of Miami or Port Everglades, which is near Fort Lauderdale. What port are you leaving from? If it's the port of Miami, then it's only about a $25 cab ride per cab from Miami Airport to Port of Miami.
Not sure what the cost is from Miami to Port Everglades.
2007 - Majesty of the Seas
2009 - Enchantment of the Seas
2010 - Freedom of the Seas