Keep fresh eggs refrigerated until it's time to cook them.
Eggs are a potentially hazardous food, in the same category as meat, poultry, fish, and milk.
In other words, they are capable of supporting the rapid growth of disease-causing bacteria like Salmonella. Place eggs in single layer in saucepan. Add enough tap water to come at least 1 inch above eggs. A tablespoon of vinegar can be added to allow better dye coverage after cooking. Cover pan and quickly bring just to boiling.