If you want to save your eggs from year to year or turn them into ornaments to hang from branches, blow them out instead of hard-boiling the eggs before dyeing them.
To empty a raw egg, begin by using the tip of a sharp utility knife to pierce both ends of the egg; turn the knife in one of the holes to widen it slightly. Then, poke a straightened paper clip through the larger hole to pierce and "stir" the yolk. Hold the egg, larger hole down, over a bowl, and then blow the contents out with a rubber ear syringe.
Watch the How to Blow Out an Egg Video