I thought about tumbling, but was worried about the moly left behind in the media that I will later use on brass. Maybe it would be nothing to worry about, but I didn't want to invest in new media (mine is almost brand new).
The recipe was a my own creation based on a little experience and some basic chemistry. Ammonia, a strong base, is a great metal cleaning solution (it's in most commercial metal cleaning formulas). Soap, a surfactant, helps loosen any oil-based material. Vinegar is a mild organic acid, which removes oxides from the surface of metals like copper and also bases that might be left behind after steps 1 and 2, but won't "eat away" at the copper jacket.