Pinal is weird, depending on what part you are moving to.
County vs city vs city with HOA are infinitely different because of the diversity of people. Research it before you go.
I've seen houses with actual farms (chickens, goats, turkeys, cows, etc..) and no restrictions, literally across the street from communities that won't let you remodel the inside of your house without approval.
It all depends on what part of Pinal County that you are moving to. I do live in Pinal County, but I live rural outside of the city of Maricopa on 3 1/2 acres. My next door neighbor who also lives on the same amount of acreage has more chickens than I do right now. They have 28 hens and a roo. I presently have 9 in my flock, but planning to hatch out more, soon. By the way, my neighbor on the other side of me has their house up for sale, and they have chickens, too.