RE: 243 or 223
As howler said, a 223 will have less fur damage than a 243. But I think the 243 is a better choice not only because it can reach out there for those long shots but also that it is faster (if correct bullets are used) and it has a lot more knock down power. The bullet size of a 243 is not a whole lot bigger than a 223 and the fur damage is not much more either.