Hi Valerian!! In re: the chicken egg question, you can, of course, freeze egg whites and cooked egg yolks. But I tend to give a lot of them away, as well, because I know that I have a never-ending (sort of) supply of fresh eggs, so I don't see a lot of reason to store up old ones.
I did try selling them at $4/dozen, via the local Craigslist, and I got customers, but it was too much of a pain for me to make arrangements to meet them, as typically my schedule is pretty busy. But that is an option, if you have a way to simplify pick-up/delivery.
One thing I do with extra eggs is to scramble them, shells and all, and feed them back to the chickens. I just crack a bunch of eggs into a big skillet or my electric wok, smash up the shells a bit, and add cooked pasta or bags of corn, etc, and cook and stir until it is relatively cooked through. The chickens LOVE it, and it gives them back some of the protein and calcium they are losing every day when they are laying.