Trizact is used on Brunswick particle balls, due to the extra hardness of the ceramic particles that are used in the Brunswick particle coverstocks. Normal wet-dry sandpaper and ScotchBrite are not hard enough to properly size the ceramic particles, so stick with Trizact on Brunswick particle balls, or for any other particle balls that Brunswick makes (such as Lane #1).
In general, ScotchBrite can be used from 120 grit up through 1200 grit, depending on which color pad you are using. As a general guide, the lower grit values have a coarser mesh, and the higher grit values have a finer mesh. With the exception of Brunswick made particle balls, it can be used on most anything else. ScotchBrite is recommended on particle balls because it tends to erode down the coverstock, while leaving the particles more exposed for better traction. ScotchBrite can be used either dry or wet....dry tends to give a more uniform surface, where wet can make the cutting more aggressive, but can leave deeper scratches in the surface.
Wet-dry sandpaper can be used from anywhere around 120 grit up through 2500 grit.....it works best with water added to keep the paper cleaned off.
As for polishes, well the sky is the limit here. You can start off with the level of scuffing that is needed, then step up into the polishing range to the desired texture.