My BP cleanup:
Hot soapy water down the bore. Brush with hot soapy water. Hot water rinse & patch dry. Clean and coat with Eezox, easiest step of all since the soap and water already got about 99% of everything. Done.
Not only is Eezox the best corrosion protection ever devised, it's also an excellent solvent/cleaner and doesn't smell half bad. Who knew?