John's chain saw is an interesting idea. May be a little less intense. An assortment of different blades, one that I have used successfully is a reverse cut/ cuts down and into the material, with limited splitter-ing of the surface. Variable speed is nice.
Dirt, dust, debris is a constant remodel concern. Customer education about the process helps. Comment at the end of the day. If dirt, dust is the problem, it's been a very good day. IMO, Mike CT.
Edit/Add: Remove nails use an old hand saw. 10/26/20 AM.
Nursing homes/hospitals use positive ventilation systems, with hepa-filters, to contain construction dust. You would also see this type of equipment, and containment, on a site where asbestos is being removed. Can become a matter of how much money you wish to spend.