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...you can get reasonable results with an enamel paint, or even a lacquer paint. But if you don't overcoat them with a final finish of a two part clear urethane or other epoxy paint, the end result will be a little more fragile. They do tend to harden as they cure longer, and will eventually be about as durable as your original finish. But still not as durable as an epoxy paint, with a hardener, applied correctly. They do sell urethane paints in a few colors, and clear, in a do it yourself spray can form now. Look for them online or where they sell automotive paints near you.

I am aware of no chemical stripper that affects brazing material. They sell a couple of different brands, both in brush on and spray on form, at my local Home Depot. They work best when it is hot outside. They do make a mess, so put down newsprint or a dropcloth.

You will be a lot happier if you remove the head badge first, as recommended by AndyK . There are various methods of reattachment. one of which is to simply remount it using a small piece of 3M double sided car trim tape, which actually works pretty well. If nothing else, removing the head badge first makes it less at risk during the paint stripping process.

AS in all things, the first couple of times you do this, go slowly, and don't be afraid to stop and think about something. Generally, I think that repaints look better with some reproduction graphics applied. Those are available online from a number of guys, and they are not cheap. There are some other threads already going on painting. I think you can find hem using he site search function, or Google, with the limiting term "bike forums".