Any 12 ft/lb .22 is more than adequate for dealing with bunnies provided that the user is capable of pointing it in the correct direction!

The market is awash with suitable hardware from Ł80 in the Gammo break barrel range to the price of a small car in the pre charged market.

Personally I use a BSA XL Tactical in .22. A superb little break barrel with a synthetic stock and built in moderator. The high cheek piece allows for consistent gun mount and the stock is literally indestructible.

My optic of choice is a 3-9 x 50 Hawke scope which is ample for all types of air gun hunting (in my humble opinion).

Is this you’re first venture into shooting or just your first go at air rifles?

As an afterthought it is worth noting that shooting alone is unlikely to completely control the Coney menace. I shoot two farms and have a friend who ferrets the warrens. Even this two pronged assault struggles to keep the thriving populous under control!