You're gonna get a million answers. Really depends on what you're going to hunt. .44&.41 are short range gun with the .41 having less recoil than the .44, but about 80-90% as powerful.
The 7mm/08 is a long range gun, easily up to 300 yds. (with a lot of practice).
What you need to think about most :how easy is to get the ammo or reloading items for each one due to currant political climate? THings are not going to be like they were 2 years ago!