Definitely boots. So much easier, user friendly, quick, easy to wash and store, time efficient, offer more protection... must I go on? Oh, and cheaper too depending on which ones you get, you need wraps under your bandages, you can't just bandage straight over the leg or you'll give your horse an injury, wraps can cost a small fortune if you buy decent ones.
I have bandages, but only ever use them when I attend clinics or if we're doing a photo shoot for the business. Otherwise they live in storage. Far too much hassle to use them daily.