I too have an H&R Handi Rifle,,,
It's a really nice rifle in any caliber,,,
Mine is chambered for the .357 Magnum cartridge.
Lotsa good scopes being recommended here,,,
I'm no optics expert but I'll tell you what is working for me.
I have a Bushnell Banner 3 x 9 x 40 mounted on my rifle,,,
I know I've put over 500 rounds through it,,,
Scope hasn't lost it's zero yet.
I did have the base screws come loose once,,,
My fault as I didn't put any fingernail polish on them.
Poor man's Loctite would have saved me 9 rounds getting the zero back.
Have fun and enjoy your new rifle,,,
You are gonna love that single-shot wonder.
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