What I use exclusively for polishing my smooth pipes are these:
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A soft bristle shoe polish brush and:
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A plush microfiber towel.
For a pipe in extremely dry condition, I use several coats of Minwax:
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I add a coat and wait 15 minutes before buffing it with the shoe polish brush. I normally put 3 coats of wax on and work each coat of wax in with the brush. When I’ve achieved the shine I desire, I finish the pipe with the microfiber. After a day of rest, the wax becomes a hard coat. Here’s a pipe that I own that looked dry as a desert when I received it, but today it looks like this:
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Once you achieve this shine it’s easy to maintain with a quick once over with the shoe polish brush after each smoke. To take the subject further, if you ever come across a pipe that is so abused that the stain is uneven, you can color correct it by using the proper shade of shoe (leather) polish. The following pipe was so abused when I received it that I couldn’t get a tamper nail down into the chamber. It was loaded with lava, water stains and an area that looked like it came in contact with a chemical of some sort. But after a good cleaning and color correction with several coats of shoe (leather) polish, this is what the pipe looks like today:
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To maintain this pipe I polish it with the shoe polish brush after every smoke and nothing more.
Now, if you have collector pipes, I would use the following wax to keep and maintain them:
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Renaissance wax is the standard for anyone who does serious wood and metal restoration and preservation. This wax can be used on both the stummel and the stem to help keep them protected and shiny. Here are two pipes I’ve kept preserved using this wax:
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In conclusion, these methods work very well for me, I suggest that you practice on a basket pipe before you grab your favorite Becker to experiment on. I hope that this helps.