How to Polish Stainless Steel Cookware. Part of the series: Housecleaning. Polishing stainless-steel cookware requires the use of a dry cotton cloth and stainless-steel polish. Remember to polish stainless steel cookware in the direction of the grain with help from a residential home cleaner in this free video on housecleaning. Read more: http://www.ehow.com/video_4951791_pol...