If they have a bunch of fingerprints on them, that is grease. We used to wash vinyl records with soap and water - gently - and they dry them concentrically with soft cotton cloths. If you use tissues or paper towels they will scratch as there is a high percentage of unrefined fiber them.

God - I haven't done that since about 1982 when I got my first CD player and happily dumped all my vinyl. I don't miss it a bit either

Kathleen