I have successfully used an 8mm mauser for hunting moose, I put a fixed 4x scope on her and she knocked down a medium sized bull with 1 shot to the neck. I dont think you would have to worry with any of the firearms you have listed, just pick the one you are most comfortable with and get to the range to brush up on its intricacies. And for GODS SAKES, if you see an animal DONT MISS IT!!!!!!
I went hunting with my father in law a year and a half ago in Newfoundland.
Because I was on vacation, I didn't take any of my own firearms with me. I rode "shotgun" while he drove, and we combed logging roads and back country road near cutaways etc for 4 days straight. There was lots of pressure by many hunters, so sightings were nil for 4 days. He had a remington 700 that he bought in 78 or so, and I had never shot it before. I took it to the sight in area near his house and put a bucket lid at 200 yards and hit dead center with 1 shot. Feeling confident, I got back in the truck and proceeded to hunt with him.
After driving around for 4 days (he had a recent mild heart attack 7 months before, and out of fear, wouldn't walk and stalk like before the attack) we came upon a big cow standing on my side of the truck about 40 yards from the truck. He said "get out slowly and take her!!!!!!!!!" Now, feeling the pressure to perform in front of the father inlaw, I got out and had 1 round in my hand that I had been holding for the 4 days. (the rest were in the console of the truck and I didn't grab any more because of the distance and the need for speed - I thought she would bolt if I didn't act quickly)
I quickly pushed a 160 gr winchester failsafe in the internal mag and chambered it. With the Father in law looking on, I took aim at the cow who was standing directly facing me and said to myself, might as well do a showoff shot and peel her skull back. I put the crosshairs between her eyes and when the shot rang out, I gave her a mohawk. A big tuft of hair lifted off from the top of her head and she quickly trotted off into the impossible terrain unharmed but nearly deaf I am sure.
I opened the flip up console and grabbed a handful of rounds, then took off after the moose with my father in law rolling his eyes at the whiff job. I chased that moose for about 30 minutes down hills, over bog, and over logs. Her footprints were easy to track as the ground was wet and soggy. But her 4 long legs were much faster than my 2.
Anyhow, to make a long story shorter, it still gets hinted at that I missed a "gimme shot". I neglected to take into account the bullets rise at that short distance with the rush I felt and the hurry. Also, very few people practice at 40 yards and I shot high by about 1.5 inches. OH THE SHAME!!!!
So take my advice, whatever you use to shoot, practice at all practical ranges, and D O N T M I S S!!!!!! you may never hear the end of it.
(we got a bull the next morning, that he shot from his side, so I never got the chance to redeem myself - I'll never be able to take that shot back
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