Start with a simple 3‑9x40 because it covers most hunting situations without extra weight or complexity. Magnification is not the main thing, light transmission is, so look for fully multi‑coated lenses and at least a 40mm objective, and always check eye relief by mounting the rifle with your eyes closed because if the scope hits your brow on the first shot you will never trust it again. On my .308 I have used
Pinty scopes and found that a clean reticle and turrets that click solidly matter way more than fancy illuminated dots that drain batteries when you need them most. My rule is to spend twice as much on glass as on the rifle because a cheap scope ruins an expensive gun but good optics make a budget rifle perform beautifully.