Brick, mortar and moisture
Paint on brick can trap moisture that would otherwise dry out through the wall, which is one reason masonry paint blisters. Stripping lets the wall dry again, but it can also expose eroded or soft mortar that the paint was hiding, so allow for some repointing. If the wall is repainted afterward, use a coating made for masonry that lets vapor pass.
Disposal of paint residue
Federal renovation rules require waste to be contained so dust and debris do not escape, stored at the end of each day under containment or behind a barrier, and kept contained while it is hauled away. On a brick job that means paint chips, used sheeting, stripper paste and wipes go into sealed bags rather than an open trailer. For leftover paint or stripper of your own, ask your city’s solid waste department how to dispose of it.
Wood siding and trim on the same house are covered under peeling exterior lead paint. If the paint on the brick is sound, compare encapsulation and enclosure. Grand Prairie Lead Paint Removal has the overview.