The best way to insure beautiful boiled eggs (without that ugly green film on the yolk) is to start off with the eggs in cold water. Bring the water to a boil, and boil for 3 minutes. Then, turn the heat off, cover the pot and let them sit for ten minutes.
To dye the boiled eggs, use small juice glasses or coffee cups. I like the glasses because you/the kids can see the egg. Add water and a tablespoon of vinegar to the glasses. (about half way full) Then add a few drops of food coloring. Let the eggs sit for a minute.* Remove the eggs and let them drain and dry on paper towels. Don't try to wipe them dry.
* Tip... The longer you let the egg sit in the dye, the darker it will get.