22 rimfired are everywhere and cheap. The 17HMR has made second hand ones very cheap indeed.
I paid £120 for BRNO Bolt action, that came with sling,moderator,scope, 2 magazines,and a **** load of ammo.
They are simply not fashionable anymore, but still a good round
Look in the back of sporting rifle, there has been one in there for months,it was £60.
Stay away from the semi auto stuff tho, and stick to a bolt action and you should have years of trouble free use
40 grain does a job on bunnies, and it's cheap enough at around £4 per 50