i hunt for fur and if your wanting to then your bet choices will be:
17 rem, 223 rem, 204 ruger, 218 bee, 221 fireball, 22 hornet, are my choices. my 223 is a 223 ackley though. the 220 swift wont do very well though. the 243 is way to hard on em if your fur hunting and the 22-250 is def not a choice for me unless u shoot a very very light bullet. but thats just me.