According to tradition, an egg is a symbol of new life and is used at Easter as a symbol of Jesus' resurrection. The outside of an egg looks like a stone and so it is a way to represent the outside view of Jesus' sealed tomb. Inside the egg is the new life of a baby chick ready to break out and so this is a way to represent Jesus' new life as he rose from death.
People would decorate eggs to give to members of their family at Easter as gifts.
Since I don't have any personal decorated eggs to share with you, I thought I would post some images that have been forwarded via email -- they truly are
Unfortunately, I don't have the name of the creator(s), but I don't think he or she will mind my passing them along.