OK, Time to clear some stuff up.
This will work to some degree. The Golden Book of Chemistry Experiments(I think this was the manual that does this) uses bisulfate in place of concentrated sulfuric acid reacted with NaCl to produce HCl gas.
Grind the two together as solids and heat. And heat means melt.
The chemistry stating that one needs a stronger acid to protonate a conjugate base of a weaker acid is mostly valid in terms of equilibrium constants in aqueous solution. When you have solid/molten phase reactions, the driving force is removal of the volatile HCl formed, continually shifting the equilibrium toward the HCl side.
So get a vessel safe for both high temp and acids, mix your bisulfate and salt, and lead a tube from this sealed vessel into cooled water. You WILL NEED A TRAP IN THE GAS LINE. Suckback means boom here, as any suckback will instantly boil, perhaps overpressurizing your container.
Do not bother trying to collect pure liquid HCl at home, you sound too new at this. I know many whom I would trust not to gas themselves while doing this, but as you are asking about the precautions to take doing this, you are not ready. Just make the aqueous solution that all labs use anyway.
You will want a well sealed bottle to store it in. I would prefer outdoor storage, as the fumes seem to get through everything and rust things in the vicinity.
Injuries possible: minor acid burns, thermal burns from high temp reaction, and potential of everything blowing up in your face if you do not use a trap! Oh and gassing yourself.
Purity: Probably rather pure, you are distilling a volatile substance out of nonvolatile ones. Concentration depends on how long you bubble the HCl gas through the water. Extreme overheating( a glass vessel would melt/soften before this became an issue) could be decomposition to SO3.
I would be comfortable doing this at home, but only outdoors or in a decent fumehood. It is not too dangerous if done on small scale.