I am not a big proponent of folding and refolding or kneading the clay over and over.
What I do is when the claybar is new I cut it into several little pieces. Then, right from the start, take those pieces and knead them into very thin, silver dollar size pieces, that you rub the paint with. This is very cost-effective and safe. Use only back and forth motions, never circular, and use these pieces until they get dirty or become saturated with the lubricant and begin to deteriorate. If they get dirty, flip it over and use the other side. If both sides are dirty simply throw it away. This way there is zero risk of particle contamination coming back to haunt you. This can happen if you fold and knead dirty clay inwards. And if you ever drop a piece of clay on the ground...it's dead. Toss it.
I prefer a quality auto shampoo with copious amounts of water to quick detailer as a lubricant. It will aid lubrication and leave less residue.
Follow claying with compounding, then wax or sealant.