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Dovo makes a modern stainless razor, if you don't like vintage. Of course there are also custom razors which use steels like CPM154.

People generally don't oil razors at all, except for long-term storage. Some of my carbon razors are from the mid-1800s, and they are just fine. I'm still shaving with them.

If the stainless steel has a really thin edge bevel then it will actually be easier to hone than most carbon blades. My Friodur was like this. Thick bevels is what makes certain razors take a long...