Can anyone advise cheapest / easiest way to get from Miami International to Port Everglades?, flying in from the UK in a couple of weeks time
for a weeks cruising. All advice appreciated.

Me too. We'll be there at the end of Sept. This is our 2nd cruise from MIA. You can book an Everglades tour almost from any hotel. Just ask the Conceige. Also, If you don't want any hassle you can check with your cruise line. A lot of the time they will have tours at the port of embarkment. Have fun.

Umm, James, I believe Willie is asking about how to get to the area his ship will be docked at (PORT Everglades) rather than interested in an Everglades Tour.
Willie, I assume you have already checked with your cruise company? Seems like they would be able to answer this question the best, they might even have thier own shuttle from MIA. If not, the "easiest" way (but probably not the cheapest) would be to just hop on a taxi from the airport for the 30-40 minute ride to the Port.

Cheapest (not easiest) may be Tri-Rail (www.trirail.com); shuttle bus between airports and train, but you still have to get from FLL airport to Port Everglades. Also cheaper than taxi: rent a car at Miami airport, drop off at FLL, free shuttle to port; or www.supershuttle.com, $23 each person.

At the Miami airport outside baggage claim there will be Tri-County Express that will bring you directly to the port for about $15/pp shuttle bus or $55-60/car load in Lincoln Continental. No reservations are necessary. I think they also have another company there also-Supershuttles.