Bring the Carefully-packed Crate to Erelas Ambersky in Rut'theran Village.
[player], I can see you yearn to be dedicated to my worthwhile cause. Yes, of course, you can do something for me!
Take this crate of eggs to Erelas Ambersky. He is a druid that cares for these eggs, helping them to hatch and then training the young hippogryphs. You will find him in Teldrassil, in a small village to the south called Rut'theran.