I wish I had a buffer too! I don't have a whole bunch of tools so I actually had to go McGuyver on this. The whole process was pretty simple, and it's exactly what I would do to touch up my original Precises. All you really need is a drill and an old carto. I used a green Scotch Brite pad to remove the satin finish, then I went over the entire thing with sand paper (180 then 240 grit), and then I finished it off with a Cape Cod polishing pad. You could use successively higher grit sand paper to get a smoother finish, but I prefer the slightly textured finish of the 240 grit. It's almost identical to the original Precise finish!
One tip: Place a small oring on the connector end of the carto. This will prevent over-tightening of the carto.
@bmwjen: I agree, there's nothing wrong with the new finish. It's absolutely beautiful, but I know that there's a bunch of us out there that just love the original Precise finish.