Hi, Phillim, and welcome! The cystic fibrosis forum obviously isn't a very busy one here on HealingWell. I do not have cystic fibrosis but I sure can understand your concerns. It looks like you can have your pets. As far as hunting goes, be sure to talk to your doctor/surgeon about that. You probably could just wear a mask to help with infection but I think I would be more concerned about the recoil of the rifle. Just something to think about.
It does look like you need to be careful around birds. So be mindful of that.
Here are two links that are quite helpful. One is from Duke University and the other is from the Cleveland Clinic...both outstanding hospitals. Hope these help you some. Always ask your doctor/surgeon first.
Best of health to you!