I have a T/C muzzle brake on my .308 pictured. It reduces the recoil really good, but I have heard that the best recoil reduction you can get is from a guy who owns Holland Guns.
www.hollandguns.com i have not had him put one on for me, but I am saving and hope to get him to put one on my other encore. I heard this from Jim at Shots gunsmithing in Oregon.
www.shotsgunsmithing.comMy .308 doesn't have hardly any barrel jump, most or the recoil comes back at you, but not too bad.
Hope this helps.
T/C will put there muzzle brake on for around $80-90.
The Holland brake is around $ 200.00 or so ,installed.