I use sewing machine oil. It is a very highly refined mineral oil. It will not harm your blade, but wipe it on and wipe most of the excess off. I have found that moisture can get trapped under the oil and promote black spots on your blade.
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I have designed and patented a straight razor case. Look for it under the vendor section or go to my website, Alembic Products
Ty I will wipe the excess off. I was leaving them drenched in oil. :)
Does it house any size?
If you go to the site, it has something you can compare your razor to to see if it fits.
I can send you a pdf of the template for sizing. Let me know if you want it. Just send me your e-mail address by private message.