How do I apply a large vinyl round to a large plastic egg, without creases?

foodtv
I've tried just slapping it on there, slowly peeling the back off and sticking it on a little at a time, done the same thing but cut the backing in two so it would start stuck in the middle, and tried applying water with those previous applications. All were done with my fingers and/ or with a credit card to act as a squeegee.

The egg is about 10 inches tall and 7 inches wide, your typical Easter plastic egg, just giant. I'm trying to add spots varying from about 4 inches in diameter to 6 inches with vinyl you'd typically use with a circuit machine.

I can get some areas where it's a bit smooth but it just doesn't totally work out.
How do I apply a large vinyl round to a large plastic egg, without creases?
How do I apply a large vinyl round to a large plastic egg, without creases?
How do I apply a large vinyl round to a large plastic egg, without creases?
How do I apply a large vinyl round to a large plastic egg, without creases?
6 Opinion