Growing up in the country, hunting was part of my youth, shotguns, 22s, deer rifles, etc. My 3 children were born in the city near L.A. A hand gun for defense was about it. Until the boys got to about 8-10, then we got into air rifles for some backyard plinkin. .20 Sheridan, and a .177 RWS spring piston (can't rem the Model #), the RWS was about 700 FPS, those where the boys air guns. Of course I had to get one for myself, and it was one of the more powerful air rifles at the time.
RWS Model 48, and a 9 power scope.
Specs:
Caliber: .177
Ammo type: .177 pellets or ball
Body: Wood stock with Metal Receiver and Barrel
Power Source: Spring Pneumatic
Overall Length: 42"
Barrel Length: 17"
Fire Mode: Single Shot
Cocking Effort: 39 lbs
Action: Side Lever
Trigger Pull: 3.3 lbs
Gun Weight 8.5lbs
Muzzle Velocity: 1100 FPS
Front Sight: Fixed
Rear Sight: Adjustable
It could kill rabbits, squirrels, crows with this beast at 30-50 yds no wind. (We found orchards to varmint hunt in.)
My wife didn't enjoy us shooting the air guns in the house down thru family room, living room, hallway into the guest bath into a 18"x18" trap. We tried for single hole accuracy, but I can't rem. if we achieved it or not. Something we did on rainy days or cold nights.
My oldest son got the sheridan .20 multi pump. He still says it was one of the best Christmas presents he ever had. To our surprise, he was an exceptional shot. He was lucky, his mass production Sheridan was very accurate to about 20 yards. Here is an example: We visited Grand Dad, and went down to the river with the air rifles, we would find beer bottles and toss them into the middle and then shoot at them. After a few seconds all you could see was the neck. It was winter and the river was moving slowly, my oldest would shot the next 1st shot about 80% of the time. That is a moving target approx 1" wide, 1-2" tall, 10-15 yards, and he was knocking them off bottle after bottle 1st shot.
I want to thank you for starting this thread, it brought back those memories, of some great times with my boys.
The best thing about buying a RWS is you can resell it. I paid about $325 for mine and sold it about 3 or 4 years later for over $200.
The RWS may be about $100+ over your budget, but you will not be sorry.