Firebrats live behind insulation, inside utility chases, and in the wall voids around heating equipment. The ones you see crossing the floor near the water heater are a small fraction of the population. The eggs, the early nymphs, and most of the breeding adults are in places you cannot reach without pulling drywall, removing insulation, or opening the cabinets behind major appliances.
Over-the-counter sprays kill the firebrats they touch and almost nothing else. Surface treatments do not reach the warm harborage where the population actually lives, and a few weeks later sightings come back from the same spot. Worse, firebrats respond poorly to contact insecticides in general, the most effective products are desiccant dusts (diatomaceous earth and boric acid) placed inside cracks and voids, which most homeowners do not have or know how to apply safely.
A specialist with thermal and moisture tools maps the warm pathways of the home, then dusts the cracks and voids those pathways follow. They also identify the moisture and ventilation issues feeding the population, fix the plumbing leak on the hot pipe, vent the attic better, address the humidity behind the water heater. Treatment without those repairs almost always sees the population rebuild within a year.
Firebrats cannot bite, sting, or transmit disease. They are not a health emergency. What they are is a slow, persistent threat to books, archives, photographs, wallpaper, starched fabric, and dry pantry items. Initial residential treatment typically costs $200 to $500, with $40 to $100 per month recurring for homes with chronic warm-zone conditions. That investment is usually a fraction of the cost of restoring damaged books or archives.