i've never sailed out of port everglades before...but based on what i've found online...you can park at the port for $10 a day, i think it is...or you can use the park n fly that services the airport, and they allow port everglades parking, for $7.50/day....free shuttle to the port. i don't remember their website, but i found them by doing a google on park n fly...the maps on their site show you that you're just a few minutes away, at the park n fly.
we parked at the park n' fly...used to be for the airport only, but they now allow you to park there for the cruise ships, as well. the shuttle virtually followed us to our parking spot, loaded our luggage from our vehicle to the bus, and took us to port everglades...i would guess it was about a 4-5 minute trip. on our return (this past saturday)...we called the number we'd been given, as soon as we found our bags...there was a short walk to the pickup spot...but no further than if we'd parked in the port lot... i think we waited perhaps 6 or 7 minutes for the shuttle..which took us directly to our vehicle, and helped us load the luggage back on the vehicle. cost for 1 week -- i think it was $47...plus tip.