A number of big-name manufacturers offer reduced loads with bullets designed specifically for deer hunting. Sorry I don't have the list at my fingertips, but you can google them. If you're not already hand loading, try out the factory stuff first.
I have a factory BOSS muzzle brake on a Win Mod 70 .338 mag and it is very effective. I know, my previous Mod 70 .338 did not have a brake and the recoil was a bit unpleasant when fired over sand bags.