Scott,
Be prepared to be spoiled. Assuming you can handle the recoil.
Actually recoil isn't that bad. But I've seen guys who never shot anything bigger than a .243 try a .375 and they thought it was horrible.
I have owned three #1's in .375 H&H. The first two were surprisingly accurate. The 3rd has yet to be fired. (by me) I've no reason to believe it will be any different.
Just holding a .375 in your hands makes one think of Lion, Leopard and Cape Buffalo. Most of us will never journey to the Dark Continent to hunt, but just by owning a .375 we can have visions run thru our heads...
GH