Is resurfacing just placing it in the ball spinner cleaning machine that most places have?
Cav
There's no specific thing called a ball spinner cleaning machine.
Ball spinners are just that: they spin the ball allowing you to do some things to it, like sanding, polishing and some cleaning.
Many cleaning processes are actually better done by hand, like Clean and Dull and Adrenaline wipes. For these and some others, you want the ball to sit there while you wipe the liquid/compound/cloth into and over the ball, keeping the ball wet for a short period of time. Then wipe it off with damp towels or other materials, as specified in the directions.
Sometimes you also want to polish by hand to get a lighter gloss of polish.
Sometimes you also want to sand by hand, for a few different reasons.
In these case, you use the cup of the spinner to hold the ball and you use one hand to rotate the ball while working with whatever material with the other hand.