Gamo puts out an airgun that's pretty effective on moles. FYI.
Gamo Shadow 1000 from Walmart $125
Very effective against small urban varmits. I've taken out gophers at 50 yds with it.
Get a good Air Rifle scope for it and try different pellet brands until ya find one it really likes.
Takes 2000 to 3000 rounds to break them in really good.
For more power,range,and LESS noise try a .22 rimfire Bolt action with CB caps from CCI Ammunition