Trading is just giving the egg or hatchlings code to the other person and abandoning the egg or hatchling so the other can pick it up by going to the link such as
dragcave.net/abandoned/1111, 1111 being the code of the egg or hatchling, and then refreshing until the egg or hatchling is theirs.
Sorry if my explanation isn't understandable, I'm not that good at explaining.
there is also talk of making the orange Magi have a Breed Specific Action called Teleport to make trading easier and to eliminate the risk of losing the egg or hatchling being traded.