adias angel is correct; you can confirm by calling:
There is a maximum flat rate fee of $22 to Downtown Tampa and the cruise port.
Yellow (813) 253-0121
United Cab (813) 253-2424
(taken for the Tampa International Airport website)
There is also a shuttle, but appears the taxi is cheaper:
AIRPORT LIMOS (SHARED PASSENGER VAN SERVICE)
Bay Shuttle - Serving Hillsborough County
(866) 259-9929 or (813) 259-9998
Service is provided from the Commercial Ground Transportation Quadrants located at all four corners of the Baggage Claim Level. Discounts for additional members of a group going to the same address and children. Rates include up to 3 pieces of luggage. See the representative in the kiosk for details.
Bay Shuttle Destinations
Tampa Hillsborough County
Downtown/Hotels $11 Brandon/Valrico $24 - $28
Busch Gardens/USF $24 Carrollwood $24
Port of Tampa $11 Citrus Park $24
MacDill AFB $18 Lutz/New Tampa $30
Westshore $11 Plant City $33
Ruskin/Sun City $33
Town and Country $18
The fares listed are not guaranteed. Please contact the service provider for exact fares.
Carnival Victory March 9, 2013
*carnival dream *
Glory 2/28/2010: Dina & Marty
Valor Feb 2009: Dina & Marty - again
Grandeur Feb 2008: DTW, Dina & Marty
Inspiration May 26, 2007
Fascination: Feb 2007
Enchantment of Seas: Sept 2006
Radiance of the Seas
Majesty of the Seas
The Big Red Boat
And when you leave the port to come back to the airport after your cruise there are a ton of taxis there waiting. They post that the price is $21 for the taxi (not pp). We had a van with the four of us and our ton of luggage and he still charged us a flat $21.