We dont' ahve presents under the tree until Christmas eve. The bullies have already took most of the decorations off the tree, they rip through packages as soon as they see them. Nope, no presents until Christmas eve and then we still have to be on watch to make sure they make it until morning.
We open them Christmas morning. I wrap the dog presents on Christmas Eve and the dogs can't be unsupervised around the tree after that. But when they get up Christmas morning, they know it's time and they run in to open their stuff. Just like little kids! And we always have a tiff or two over the toys--it wouldn't be Christmas at our house without that!