You can get into 22 rimfire shooting with nothing more than a good Savage .22 RF.
Have Scott at Savagegunsmithing do an accuracy job on the rifle and it will shoot right with the very high priced rifles.
Scott will even get the rifle, scope if you want on, mounts and rings for you at his cost if you have him do his accuracy package to the rifle. It's about $190.
My BRJ shoots .1" 5 shot groups so far at 50 yds. I know it shoots even better in hands other than mine.
Scott is a master rifle smith and will do a 1st class job for you.
Savage sells one of their rifles with target sites. It just might be the way to get started without having to break the bank
SavageGunsmithing, he's done right by all who have had them work on their rifles.
John K