When the girls and I were on the Dream in April, we stayed at the house the night before the cruise (AKA - the cheapest possible option) and then took an Uber to MCO to meet
@mbwhitti, and then went straight from MCO to the port via Uber. We boarded the ship around 2 p.m. I would 100-percent do that again.
How many are in your group? If you stay at the Hyatt at the airport, I would dump the DCL transfer and just take an Uber/Lyft to the port ... you'll have it at YOUR convenience to get to the port, and one way will cost you roughly the same amount as what the DCL transfer costs per person.
Another option is to stay at a beach resort by the Port ... check out the Fly Snooze and Cruise packages
on this site. For example - MCO to the Hotel, hotel stay, hotel to the cruise port and then cruise port to MCO at the Quality Inn at Kennedy Space Center is a total of $266 for three people. With the kiddo, I'd definitely fly in the day before and get a hotel out in Cocoa/Titusville/Port Canaveral with a cool pool or on the beach and get into total cruise mode, and then get a good night's sleep and get to the port as early as possible. You'll also want to fill out your online check-in ASAP so you can get the earliest Port Arrival time as possible to take advantage of as much time on the ship as possible!
Also - going to WDW for just a night is going the opposite way from MCO, so it's gonna tack on MORE travel time (at least 45 minutes) on the morning when you want to get to the ship.
Just my dos pesos!