you can either make egg themed furniture if you find all the diy recipes for them, or you can wait until the 12th to get a "special prize" for collecting all types of eggs!
if there was an option to throw them at zipper, i would pelt him without a second thought. there's too many eggs, the ecosystem in my island is bound to be ruined
EDIT: WHY DID I THINK THE BUNNY COSTUME'S NAME WAS HOPPER??? I JUST REMEMBERED IT'S ZIPPER