Current reports state that the risk of bird flu to the general human population is low, if not very low.
Is there any risk of death for you if you caught the bird flu? As with any virus, if I, or my family members, had an underlying health condition, I would be more careful if bird flu became more widespread. If you are healthy, your body is designed to fight off things like this. I have chickens. I'm actually more worried about them getting mites than the avian flu, so obviously I am not too worried about it. Make sure that you make the decision that is right for you. It certainly would not benefit you to have birds if the thought of bird flu is stressing you out. The stress would outweigh the benefit of the eggs, I think. Be wary of watching the news too much, as the news outlets like to make these viruses into something they are not, in order to gain viewers.
As for ideas to keep you safe, I might think about adding apple cider vinegar to the chickens drinking water to make them healthier, which would help them fend off any viruses if they were to become in contact with one.
I have a stray cat I've named McMeow that comes around to get attention and food. I give him some neck scratches and pets, knowing he is most likely full of mites, ticks, possible distemper, etc. Despite the risks, I would not give up my outside kitty up for the world. It took me ages to tame him and I am quite fond of him now. I am careful to go into the house and straight to the sink after he visits to wash my hands thoroughly before touching my other cats or my food. Similarly, I think if bird flu actually became something to worry about, handwashing would remain a top priority when handling any of my outside critters.
I think we could worry all day long, if we did not ignore the news to some extent. I was looking up data to your question earlier, and I came across this headline on the USDA website: "USDA Approves Emergency Funding to Protect U.S. Livestock and Animals from New World Screwworm" .... therefore, you can see my point. We just need to ignore the news, and intentionally live our lives in ignorant bliss so we can be stress-free and happy and still have our beloved animals.