Here's my simple method for hard-cooked eggs with nice color and good texture: Put the eggs in a saucepan that doesn't crowd them together. Add water to cover the eggs by 2 to 3 inches. Bring the water to a boil, then turn off the heat. Leave the eggs in the water until they've cooled to room temperature.
To peel, crack the shells a few minutes before you need the eggs by rolling them on a flat surface. Let them sit in cold water for several minutes before peeling.
K. at dottedyellowline reminded me to check out the Washington Post Peep Diorama winners this year. Not to be missed!
Happy Easter & Passover to y'all !
(image from Marthastewart.com)