Dand,
We use two types of pellets for all of our hunting. For large birds, crows and such, we use wad cutter type target pellets. I don't like a crow flying off after a body hit and the flat nose wad cutter pellets seem to have more shocking power than other types of pellets. For brush bunnies, squirrels and everything else we use the Beeman Crow Magnum hollow point pellets. They really open up and do massive internal damage.
You want to make sure that shooting small game is legal in your state before going hunting. Rules and laws differ from state to state. I California you can hunt wild turkeys with an air rifle but it must be at least .20 caliber or larger. I took a nice young tom last fall with my Beeman Crow Magnum IV in .20 caliber using Crow Magnum pellets with a body hit at 50 plus yards and he didn't go over ten feet after being hit. He made a nice addition to Christmas dinner. Lawdog