For sensitive people, I don't find cellulose any better than fiberglass from a health standpoint. Insulation seem to be a bigger problem for installers than homeowners, and I always wear a quality, tight fitting mask and long sleeves whenever I work with it. Worker protection is easy to do. Remember, you're worth it. This is well sealed behind foil-backed drywall to keep particles and gases from entering the living space.
Extra care is taken to seal around electrical boxes, windows, doors, etc.
Since combustion gases are a problem for sensitive people, even in extremely small amounts, electric heat was mandatory. It seemed to me more cost effective to use a lot of insulation and baseboard heaters than a more expensive heat pump. I know of heat pump installations that require that much in annual maintenance costs. We decided on ceramic tile for all the floors because it is so inert. Hardwood would have been our second choice, but ceramic tile on a concrete slab actually was less costly, and we are very happy with its appearance.