There is nothing wrong with having two two-way transfer switches wired to switch between three power sources. There are various ways they could be hooked up depending on what your order of priority is for power sources.
If there were a three-input automatic transfer switch, it quite possibly may be two two-way transfer switches connected together internally. (It wouldn't have to be, but that would be one very reasonable way of constructing one.) Some suitably specified manual three pole (or two pole for a 30A RV), three throw switch would also work if you wanted a manual switching arrangement, though such switches are not particularly common.
A pair of golf cart batteries is adequate for limited microwaving, but barely. They would be more than enough for television watching. It might be more practical to make popcorn on the stovetop, with a whirly-pop if you're so inclined or in a saucepan with a lid if you're not. It only takes a couple or three minutes.