100 percent cotton or real lambswool for washing. 100 percent cotton or real chamois for drying. I don't trust synthetic microfibers on paint. BTW, Zaino finishing products are the ****zle fo rizzle.
Zaino rocks. go to their web page and read up on how to care for your paint, even if you do not buy their product. The towels we use on the cars are better than the towels we use on our bodies (at my age a scratch or two is not my main esthetic problem).
Also only work in a back and forth direction along the longitudinal axis of the car (front to back).
I just got my car painted also, and so far i havent used any towels. I got this black and decker portable vacuum thing that can be used as a leaf blower, so I dont even have to touch the paint.