Figure about 1 1/2 hrs. You have to travel to the other side of the airport on the shuttle, and then go down two levels and to the end(about 10-15 min) where DME check-in is (about 5 min.) and then wait on your bus for it to fill as PP mentioned(usually about 15 min.) I'm guessing you will want to stop and use the bathroom when you get off the plane, especially with 4 yr. olds! You might also want to grab them a snack or have something extra in your bag since you won't get to the resort till around lunchtime. The video is entertaining for the kids, so once you sit down on the bus, hopefully the kids can watch, and have a snack and a drink while you wait, and then make the drive(30 min.). The buses do often stop at one or two other resorts close to yours, you may or may not be first. If you've done online check-in you should be able to get through quickly, and unless your room is ready early, you can leave any carry-ons at the baggage desk to hold, and can jump on another bus to head to the parks! Or go grab lunch at the resort if you are not heading out right away. As you probably know, you do not have to grab your luggage at the airport, and it will arrive about 3 hrs. later, and be delivered to your room once it's ready.