I couldn't find anything online about how to say Easter egg hunt in Esperanto. I can give it a try, although now I wonder if the word Easter is describing the kind of eggs that will be hunted, or the time of year that an egg hunt will take place.
Paskovo-ĉaso / Paskovo-ĉasado / Paskovo-serĉado
Paska ovo-serĉado