Best hunting rifle to pick?
That is easy! The wonderful and best all around caliber to take most anything you want and/or listed in your post. That would be the 6.5x55 Swede.
Light recoil, very accurate and will take down animals up to and including moose.
You just can't go wrong with this caliber in my opinion.
Especially if you shoot the fantastic Nosler: Trophy Grade ammo, (140 grain Accubond). It is hard to hand load better than this particular factory ammo.