Which ever you choose, I’d stick with a single pump “break barrel”. When it comes time to rid the yard of male cats, the quiet aspect of a single pump is much appreciated.
Agreed. I have pigeons that wait on the telephone lines until I fill up my feeder for the finches. Then, like thugs, they roar in and shouldout out the smaller birds.
I got a Crossman Powermaster 66, 10 pumps = 680 fps. Light, handy, 5-shot strip mag, great optic sights, but IMO, wasn't accurate enough. Plus, 10 clickety-clack pumps scared the pigeons off, even when done indoors (they got smart real quick).
Bought this puppy for $109 at Wal-Mart (Crossman STORM XT .177 caliber) 
The gun weighs as much as a regular rifle and at first I thought the scope was overkill as the range is only 20 feet, but have I've come to like it. And ACCURATE. At about 1000 fps, there is a cloud of feathers (impressive through the scope) when the pigeons are hit, they fly up about two feet, then roll over and crash. Neighbors never hear a thing.
One caution. You're supposed to grab the rifle by the muzzle and pistol grip to "break" and cock the rifle. Out of the box, the damned thing wouldn't move and I nearly bent the barrel trying to force the issue. Thinking there was some kind of internal locking pin for shipment, I called customer service and told the girl, "I feel like the village idiot . . ." and before I could finish, she said, "and you can't cock the gun." She said the company had a problem with the cocking mechanism being too loose, so they "fixed" it. She said to lay the gun across my knees and smack the barrel near the muzzle while holding the grip. WTF?? I did that it it opened right up. She said I might have to do that 6-7 times before it broke in but after the thitd time I had no more problems. Gun does what it is supposed to do.