Hi Dean,
If you are thinking about Christmas week itself, you should know that Christmas is extremely busy at Walt Disney World. I usually recommend that first time visitors not visit during such a busy time. If you just want to be there for the decorations, then I recommend the first two week of December instead. If you do go in December, be sure to experience Mickey's Very Merry Christmas Party. Likewise, if you go in October, experience Mickey's Not So Scary Halloween Party. Both are fabulous, though I think I like the Halloween Party a little better; children trick-or-treating in the Magic Kingdom is a lot of fun!
You could consider getting 2 connecting rooms at any of the hotels, but with very 4 very young children, you may not want to have 2 doors (one for each room) to keep an eye on. Therefore I have 3 recommendations:
- A cabin at Fort Wilderness Resort.
- A 1 or 2 bedroom Deluxe Villa at a Disney Vacation Club Property
Personally my family is a big fan of the Deluxe Villas when we need more room. Depending on your exact sleeping arrangements, you might be able to get by with just a 1 bedroom. Since you have young children, you may be spending a lot of time at the Magic Kingdom. Therefore you might consider staying at the Villas at Wilderness Lodge. The Lodge is awesome and there's easy access to the Magic Kingdom via a boat that runs regularly between the two. The Whispering Canyon Cafe there is a great family restaurant. Be sure to make reservations there for dinner; I think your triplets will enjoy it -- be sure to ask for ketchup if you dine there!