Dodo's have a chance to lay an egg every time they poop. So force-feed them a bunch of stimberries (That will make them poop, and lay eggs)! Just make sure that you have some regular berries because it will make their food go down. Never again will you have to worry about obtaining Dodo eggs. You will only need to tame one!
on mobile you can breed for size and if you make it small it can get on your shoulder and if you make it big you can ride it and craft a decimation bit allowing it to damage any structure including tek