For a re-ring job without a rebore and new oversize pistons, I like to break the glaze with a "button" hone, one with individual carbide balls on flexible stems. (Sometimes known as a "dingleberry" hone). Once you have a good crosshatch pattern established to help the rings seat, do a THOROUGH cleanup with HOT soapy water and a stiff bristle scrub brush, followed by a boiling water rinse. Any hone grit left in the cylinders will keep honing- - - - -and the piston rings will be the first thing to go. I totally wore out a set of new rings on a cross country trip from California to Tennessee- - - -about 2500 miles- - - -because I didn't do good cleanup during a ring and rod bearing job before we started the trip. By the time we got to Nashville, I was burning 3 quarts of oil to every tank of gas!
Jerry