If this is your first one, I'd suggest getting a Chapuis 9.3X74R from Dale Nygaard.
http://www.heirloomarmes.com/)(It's almost up to a 375 Flanged for power and a great all around cartridge. They do make other claibers too.
Chapuis makes a fine rifle. Nygaard is cheaper and as fast or faster for delivery. Chapuis will regulate the rifle with a QD swing off scope mount. Others don't. A local buddy here shot a moose at 286yds. Lazered too. These aren't short range rifles.
Mine wasn't my first DR but it's one of my best!
Edit; I just looked and they also build the 300H&H as well as the 375H&H..