Comfortable walking shoes work the best, but just changing shoes seems to help. Due to decreased sensation in your feet, wear protective footwear. Otherwise you can damage your feet and not even know it. A good pair of walking shoes, especially with arch supports, help with balance problems.
Sandals are no help.
Ditch the high heals, as they only make it worse. Good walking shoes from a specialized shoe store with athletic-type insoles added. Thick solid socks made of acrylic or cotton. One woman goes to sporting goods stores for the style WX-13 crew made by Thorlo because the socks have extra padding in the toes and heels, but the arch fits snugly. If you wear orthotics, extra depth shoes are often required.