The best thing is something small like a small box with a towel on the bottom. The less space he has the less likely he is to roll around uncontrolably in the box, and the darkness will keep him calm. He might even fall asleep! I've used baby cages as well with a towel or something thrown over it to keep it darker.
As for the eggs, Don't do it! Not all eggs will hatch, so it's a really bad bet paying for two eggs that might not ever hatch. It's just the nature of the beast, there's never really a 100% hatch rate. And if you ship them it will probably destroy the baby within, you can't flip the eggs around once they've started to develop because the embryo will form on the top of the egg, above the yolk, and if you turn it the baby might end up on the bottom and crushed.
I wouldn't really trust anyone that will ship eggs, honestly.