Here's a great way to blow eggs that is efficient, sanitary, and creates no mess.
Tip:
To create a rack to hold the eggs while they're being painted or drying: Cut wooden skewers into 7-inch lengths. Insert them into a block of Styrofoam, spacing them 2 to 3 inches apart so you can support a blown egg on each without the eggs touching. To use the rack, remove the skewers, insert each into an egg, angling the egg a bit so the top of the skewer supports the shell and doesn't go through the top hole, paint the egg, and then reinsert the skewer into the foam.