Google to find a peach orchard in your area. They will either be selling their limb cut offs or will give them away if you come and get them. You may have to get outside the perimeter by a few miles to find a orchard though.
Oak is pretty easy to find. Just talk to a professional tree service company and you can find several varieties of oak, hickory, and probably cherry as we have them all in the metro area.
Don't need a chain saw and if they give you firewood type splits, just get a hand saw and cut them into fist size chunks. If the split is too thick, then a small hatched or hand maul can "split" that in half before cutting. If you have a friend or relative with a fireplace, you can probably get a split or two for the asking. One or two logs or splits will give you a lot of smoking chunks when cut up.
Also don't forget to ask friends and neighbors who have pecan trees for their limbs!!!! Pecan trees are everywhere in Atlanta and that is a good smoke wood also. Same goes for apple.
Home Depot, Lowes, Walmart, and most grocery stores carry the bags of chunks of Hickory, Mesquite, and Apple chunks for under $10 a bag if you can't find any other sources. A BBQ specialty store will probably have a wider selection including peach and there are quite a few of those in the Atlanta area.