Poland has long traditions of Easter eggs hand painted.
The quickest method of coloring eggs is dipping them into hot water with dissolved dye.
One can also cover the egg shell with a pattern created by using the melted wax, and then immerse in a solution of dye.
The most interesting and valuable Easter eggs are created by artists who hand paint the eggs, either eggs shells or wooden or made of glass. Typically shells are used of duck eggs or goose eggs.
See here some great examples of artist hand painted Easter eggs.