Hey, if you are doing any baking, there are simple ways to replace eggs (with for example banana, apple sauce, flax seed, egg replacer, soy yogurt etc. depending on the type of the recipe). If you google 'vegan baking' or 'egg substitutes' you should probably be able to find lots of info.
We don't use any dairy or eggs in our food, so let me know if you want any specific types of recipes. I have loads of books with kid-friendly recipes!