After "break the glaze", you need to add "Go to the laundry"! It's vitally important to get every speck of hone grit out of those cylinders before doing anything else! I use a stiff-bristle scrub brush, Tide detergent, and almost-boiling water to thoroughly clean all the cylinders. Then do it again! Rinse with very hot water at least twice, using an air pressure powered siphon sprayer if possible. If the cylinders develop a slight film of rust as soon as the water dries, they're clean enough. Lightly oil the surface to prevent rust, then proceed with your ring-fitting. I once wore out a set of rings in only 2500 miles of driving because of not getting all the honing grit out of the cylinders, to the point that the oil ring expanders were rubbing the cylinder walls, and the compression rings were less than half their original thickness! That engine was using 3 quarts of oil to a tank of gas when I gave up and redid the ring job!
Jerry