I've had both. I like both. But I like the H&H more. The recoil is more on the H&H, in the same rifle, but neither is unmanagable. The H&H is a classic and you would be justified in feeling nostalgic when you are in the field. The .338 is a 'wannabe' .375 H&H. Look at the ads and arguements for it: Provides *almost* or *nearly* the performance of the .375 H&H. Pluse the extra diameter and weight of the .375 bullet equates to more momentum and shock to the skeletal system of large game. A moose doesn't really need either, but if you are choosing between the two, take the .375.