If the records have been washed, what you are doing after that is dust removal. I do that bit without touching the disc, firstly removing static with a Furutech Destat III and then, once dust is no longer attracted to the vinyl surface, blow it off with a photographic rocket blower. That removes 99% of visible particles, but if there is something stubborn I'll take it off with the corner of a Goldring "Super Exstatic" velvet/fibre cleaner. It is rare that I have to do that, and I'd probably be better off if I took such a record down to the basement and ran it through the cleaning machines again.