I have many rifles chambered for those rounds including a 300 H&H in an old M70!
I have a 260 Rem, 264 WM, 270 Win., 270 WSM, 7 X 57, 7mm WSM, 7 RemMag, 300 Win Mag, 300 H&H and other chamberings.
I don't enjoy the kick from the 300 magnums and I take the 7's to hunt. We all vary. Get what you like.