Partial as short of time, will add later:
This is partially useful:
(describes cleaning in both Skylab and Salyut)
https://www.google.co.uk/books/edition/Architecture_for_Astronauts/8RWKOxH1c8sC?hl=en&gbpv=1&dq=did+cosmonauts+clean+salyut&pg=PA140&printsec=frontcover
During the Soviet space station era it became obvious that with operational time, surface and atmospheric contamination increased. To keep the contamination level down, the interior of the Salyut stations and the housekeeping strategies evolved from the first station to Salyut 7.
Salyut had a trash ejector compartment - well not really, it was supposed to be for science experiments that needed access to space but it was also used for dumping things, when not filling up Soyuz with it.
As noted in the link they had cleaning days and access to vacuum cleaners.
Most of the article is devoted to Salyut 6 but given Salyut 1 (1971) had a long duration crew they would have had to clean too.
Salyut 3 (launched 1974) introduced a shower.
Even before Salyut, Soyuz had a toilet in the orbital module (and still does) so they would have considered cleaning regimes for then too.
Amusingly, and replicated much later in the ISS:
Dumitru-Dorin (Salyut 6) "We had a vacuum cleaner with back exhaust air, sold in Eastern European stores under the name 'Raketa', that looked like a rocket (...) fed by a long cable from he station's electrical network, and sometimes (...) you just took the vacuum cleaner between the legs, turned it on and then you flew like a rocket inside the station."