So here is the bucket and bill after three coats of gloss black. I did some light wet sanding in-between the coats. This is what they look like. We seem happy with the way they look.
After drying for a little over two days, as stated above, we started to polish the bill. In Ingrid's post she said about using paper towels to wipe the polish in, and wipe the extra off with a terry cloth rag. After the wife got tired of it, I took over. Some black seems to be coming off onto the paper towel. So I tried using the cloth on a test piece. This seemed to just rub the paint off all together. This last picture shows the bill after about 50 min on polishing. I know things take time, but after seeing some of the paint come off, and not really seeing it get any more shiny, I thought I would stop and try to figure this out. I have a feeling I'm doing something wrong, or that maybe the paint is not really dry. I will give it a few more days before I try again, but am open to any ideas if anyone has done this method before.