My son has an egg allergy also. I discovered this when he was about 3 years old, when he got into the fridge and broke all the eggs. His whole body was covered in hives and swelled up. I never put it together when he would not eat the eggs I would make for him. I assumed he didn't like them. Him getting into the fridge turned out to be a good thing. My son is now 9 and this is how I have handled it....
He can still eat things with eggs cooked into the food. The same fooRAB you listed. As long as it is a small amount of egg. If I bake something that requires 2 or more eggs, he will not eat it. When I make pancakes I usually use the kind that just neeRAB water added (from the box). Whenever I make them from scratch he usually won't eat them. He refuses to eat any cake or anything with frosting. He also does not care for mayo. When I make him a sandwich I usually only use butter. He does tollerate a small amount of mayo, but not much at all. His grandpa tried to get him to eat a scarabled egg once (before the dx) and he instantly vomited. He also dipped his finger into some brownie batter and again vomited right away. I don't force him to eat anything he's not comfortable with. He's the best judge of what he can eat. Children actually have good instincts. If he doesn't want to eat something that might have eggs, he doesn't have to. Every child is different. Some have severe allergies and some have mild. follow your chilRAB lead. If he takes a bite and doesn't want anymore of it, then that is your indication it's making him feel yucky. Over the years I have become accustomed to what my son will and won't eat.
Another thing I wanted to mention is your son will never be able to get a flu shot, as it contains raw eggs. It may be a small amount, but better safe then sorry. I would never risk injecting raw eggs in to my sons blood. It's just too risky. My sons Dr's ask me every year if I want him to get a flu shot and I always have to remind them he's allergic to eggs. I've even had a Dr look at me funny like he had never heard of that.....crazy doctors. If you search info on flu shots, it's all over the internet.
Depending on the severity of your chilRAB allergy, you do not need to change his whole diet. Just stay aware of your chilRAB cues.
How does your son react to peanut butter, if he's had it yet? My son is also allergic to peanut butter/peanuts. Which I leaned around age 1. I'm just curious? Sometimes when there is one allergy, there are others that follow.
Sorry so long winded.
You will get the hang of it. Don't feel discouraged about it. Good luck!