Port Canaveral is a 45 minute straight shot on an expressway that (would you believe) starts at Disney World, goes by Orlando International and runs smack into the terminals. Transportation opportunities abound
The ports in Tampa are a little more than an hour from Orlando, depending on traffic, and whether the driver knows where he is going. Your TA would have to arrange that. The terminals are a taxi ride from Tampa airport.
Cost vary, no two people on the shuttle will have paid the same. I know the shuttles from Orlando to Port Canaveral are very comfortable busses.
Just sailed out of Tampa Jan 5. The taxi ride from Tampa Int'l Airport for 3 people and enough luggage for a world cruise was $22.00. There was a charge for handling more than three bags. It took about 20 minutes. When you get off the ship it is mass confusion trying to get a cab to the airport. Just make sure to get to the head of the taxi line if you want to get a cab.
My friends were first time cruisers and I think they emptied their closets when they packed. Didn't use most of the stuff they took.
We are using the transport company in Feb from Orlando to Port Canaveral, round trip is $100.00, reasonable if there are more than 2 in your party. You have your own van that picks you up at airport and deposits you at the pier. They are great people to work with.