Taken many Moose in my many years of hunting. MOST have been taken with my old cherished Win Model 70 chambered in .30-06 shooting a 220 grain bullet. Taken a few with lighter 180 grain as well. Then still others I have taken with the little old .30-30 and low and behold they were just as dead! Taken a few with Traditional archery gear as well as compound and 2 or 3 with muzzleloader. I can tell you that MOST Moose encounters will be well within range of a .30-30. A Bull Moose in rut isn't the brightest bulb in the lamp and there isn't very much at all that scares them. Not many predators are willing to tackle an animal of that size. WAY to many easier meals on legs out there for that nonsense. Cows on the other hand, like most females of every species, are much smarter and more wary.

To be 100% honest, get you a good .30-06 being as the ammo is as much as half the price so that means a lot more practice money!! Precision is key for any cartridge so get one that you can afford to practice with!