Is it hard to fry just yolks without breaking them? Sometimes I fry a whole egg and just eat the yolk, but I haven't really tried separating them first. How well do you cook your yolks?

I keep a jar in the fridge for egg whites - whenever I separate an egg, the white goes in there. When it starts to get full (or when they need more food), I fry up the whole batch and give it to my chickens. You could probably do the same for your dog.

Occasionally, someone will want to use some egg whites as a binder or make a meringue-type thing. There's always egg whites available if they want to.