I just discovered that Tigger has LOTS of flea eggs

I thought it was SAND all over him, and they are all little black things, I'm pretty sure that's what they are.

My dad and I used a "Shop Vac" trying to vacuum some off, because we can't put any flea stuff on him because I think he's alergic to it.

Any suggestions are helpfull!!

Do flea shots kill eggs?