From what I've heard (never having lived in real natural rural surroundings), chickens don't lay eggs in winter - so the fact that you get eggs again is one of the things of spring: new life everywhere, and, most importantly, new food!
Eggs represent fertility, so they would be involved in all the rites of spring, but for the people of olden times being able to eat something as nourishing as eggs again was miracle enough, too!
![Smile :)](./images/smilies/77smile.gif)
Where the practice of giving them for Easter began I don't know.
Bunnies, too, have their, um, fertility rites visibly in spring.
(I don't understand the reference to nerdanel, though - does she have issues with the Easter bunny?
![Wink ;)](./images/smilies/icon_wink.gif)
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As to the Easter Date: it's on the first Sunday after the first full moon in Spring.
Jny, I've never read it explained like that - wouldn't that make the distance in time between Passover and Easter always the same?
The explanation I've always heard is that the orthodox churches have Easter at the Jewish Passover date, because that's when the events commemorated took place, but the Western Church wanted to distance itself from this practice that's why they came up with the above way to determine the date for Easter.