I can tell you with certainty that grind uniformity is also very important and that's probably what you're gonna lack the most.
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There are specialized sifters to identify how many microns large the coffee is.
I don't think most antique grinders will grind well, you need ok burrs and somewhat tight tolerances. Do you have a photo of your machine?
It depends on the brew method: finer for espresso, medium for drip or pour-over, and coarse for French press. Sometimes I grind my coffee a bit finer for a different taste.
Fineness aside, the main quality you want in your ground coffee is a very even size distribution around your desired size. If a lot of the resulting grinds are smaller or larger, especially very fine dust, the resulting brew will be much less balanced. If you want to, you can buy a sifter set to sort out different particle sizes. If you really want to, there’s software to do optical size distribution analysis.