I think your getting some great advice here and I have little to add. I think a shotgun is a great choice, if I could only have 1 gun it would be a 12 guage shotgun. With all the various loads available you can effectively shoot anything from squirrels and rabbits to deer and bear.
I will say that there are some good gas operated auto 12 guages that will have no more, if not less, recoil than a pump or single shot 20 guage. My personal preference is Beretta, but there are other good choices as well.
As for the pellet guns, I'd reccomend a Gammo. They are one cock style but the have models that shoot 1000 fps plus. I owned several of the pump model pellet guns when I was a kid, and they don't compare to the Gammo for speed.
I will say that there are some good gas operated auto 12 guages that will have no more, if not less, recoil than a pump or single shot 20 guage. My personal preference is Beretta, but there are other good choices as well.
As for the pellet guns, I'd reccomend a Gammo. They are one cock style but the have models that shoot 1000 fps plus. I owned several of the pump model pellet guns when I was a kid, and they don't compare to the Gammo for speed.