Somewhere around my third shave with a straight razor, I bumped the razor against the faucet while rinsing. Since then, I have been wiping on a microfiber towel, seems to work very well.
I was watching the Chimensch video and SWMBO passed by and asked what the sponge was doing at the bottom of the sink. I explained, and she asked if that wouldn't still expose the razor to the danger of bumping on the faucet on the way to the sponge.
The next day, I found this in the shave den. It seems to work very well, but may be a bit of overkill...
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