Yeah yeah....don't listen to this guy. He is impressed by a .338 Win Mag. Hahaha Everyone will always tell you the .375 is a medium bore. It's not. It is a big bore rifle. They're just looking to kick sand so they can tell you about their bigger rifle with a supposedly more impressive number stamped on it.
Americans are obsessed with little tiny rifles according to the parts of the world that need licenses and permits to own such things. Haha.
Excellent choice on the Safari Express. I love mine. It shoots PPU cheap ammunition very well and my handloads even better. The problem I have with mine is that it gets me excited and I shoot it dry very quickly. Not a lot of recoil to write home about, but it will make a glorious noise for you.
Enjoy your rifle and don't rush in getting something bigger than you need. The .375 is powerful and ballistically very interesting. You can have a lot of fun building loads for it and shooting it out to great distance.