Good luck. I also have asthma. Even if my chicks are in my basement, I am aware of it's affect on my breathing in my upstairs bedroom. I did put them down stairs for a week this time due to a difficult hatch and some chicks that needed some extra time to make the "save or cull" decision. But... generally, they get 24 - 48 hours to get settled after they come out of the incubator, then they go straight outside to be brooded with MHP. Getting a respirator mask is well worth it for your own safety... even if you don't have asthma.
If there's enough dust in there to bother an adult of average sensitivity, there's too much for the chickens.
