Hi Kim!
The beautiful
Bay Lake Tower at Disney's Contemporary Resort would be a wonderful place at which to consider a stay for New Year's Eve in 2013!
A studio room there is set up to include a Queen size bed, a double-size sleeper sofa and a play pen. Pack 'n Play playards are provided to all Walt Disney World Resort Guests, free of charge, in all resort rooms.
At about 300 sq ft, I think you'll find this room type and size to be just perfect for your young family.
You'll also have the added bonuses of a DVD player, microwave & toaster.
Please don't hesitate to visit again if you have additional questions.
I'd be happy to help you out!
Wishing you a simply Magical time at Walt Disney World and a Happy New Year to you and your family Kim!
Kirsten