A way to get around the regs might be to sell eggs as hatching eggs.
Here I could sell up to 10000 eggs from home, or door to door, as long as we've had a salmonella test done within a year, and it's been negative. Without the test we're not even allowed to give away eggs. If I want to sell at a market, I would need to mark the eggs with our producer code (we've actually gotten the chickens legally and are registered as a place where livestock is kept). If I wanted to sell more than 10000 eggs annually, or sell to stores and such, I would have to go through tougher bureaucracy and fulfill some hygiene requirements.
I could also sell up to 1000 rabbits or chickens, or any poultry really, straight to consumers from home as long as I inform the authorities that we're doing it. If I wanted to sell it any other way, it would need to be slaughtered either at an abattoir, or in some cases I could register as a small time slaughtering facility, if we would fulfill the requirements, which I'm guessing we wouldn't, since we don't have a dedicated slaughtering spot with access to running water etc. I'm not sure if that's 1000 animals total, or if I could do both 1000 bunnies and 1000 chickens. Doesn't really make a difference since I don't think our yard could ever produce that kind of amounts.
Selling to a restaurant would always require permits of some kind, the scale of the operation would specify what I would need to fulfill.