Brasso, Flitz, Nevr-dull, Mother's, almost any decent metal polishing/cleaning works well, I have used the same tube of Flitz for nearly 2 years, works great on SS, Copper, Brass, even does a decent job on plastic panels/tanks The easiest most durable method to prevent Patina is one of the commercially available clear coats (spray cans). I've started to appreciate the beauty of the natural patina and brass so I no longer have to bother polishing everything.
Soft cotton for the polishing media, then a decent micro fiber cloth after does well with any of the above.
The following are before the natural patine, I'll see if I can get some decent pics what they look like now. If you just give a little wiping daily the copper really turns out nice.