Our kids have used the same baskets every year to hunt eggs. They each have a really pretty, sturdy wicker basket. DD & older DS have had theirs pretty much from their first Easter, but it took me a while to find one I liked for younger DS - so he went through about 3 different ones before I found the one he currently uses. He's 9, & he's had it for 4 or 5 Easters now.
We dye eggs 2-3 days before Easter, & their dyed eggs go in their baskets. The baskets then line up down the center of the kitchen table as decoration. And, then, on Easter, they use their baskets for egg hunts. (When it's not Easter season, their baskets are stored in the top of their closets.)
However, for the Easter treats & gifts & candy that they receive on Easter Sunday, I've always used something different besides their baskets.
In the past, I've used new backpacks, duffle bags, beach bags, swim bags, sand buckets, storage cubes, etc. as their Easter "treat baskets". (One year, when DD & older DS were really little, their treat baskets were plastic toy wheel barrows.) This year, their Easter treat baskets were really nice, lined laundry baskets for their bedrooms.