"Scrubber" for storing HCl
Inexpensive [about US\$0.30 / liter] marble or limestone scraps, $\ce{CaCO3}$, likely would serve well. You could make an outer bucket with polyethylene netting, so that the pickling bucket would be well below the level of surrounding limestone chips. Coarse netting would not work with powders. Make the neck just large enough to admit the parts.
Better would would be to draw air continuously from above the container through a scrubber stack filled with marble or limestone chips, and possibly vent outside.
Definitely don't use lye, $\ce{NaOH}$, which is perhaps more dangerous than $\ce{HCL}$, as well as hygroscopic! You'd wind up with a puddle of caustic lye solution at the bottom of the outer bucket. And $\ce{NaHCO3}$ would also make a mess, though non-toxic.
BTW, if using large amounts, be careful that a spill into the outer container doesn't release so much $\ce{CO2}$ as to displace air and asphyxiate someone.