I went way down the rabbit hole on this topic, since thrift stores are my primary source for vinyl. I ultimately came to the conclusion that you really just need four things: water, surfactant, fine bristled brush, and a very soft and absorbant towel to dry with.
After much experimentation, I ended up with a Vinyl-styl kit, but I just use blue dawn & warm water, instead of the chemical solution it comes with. Although it's still manual, having the kit helps me industrialize the process, since I tend to find stashes of records, rather than individual ones. I also feel better having the protection for the labels. Works wonderfully.
Once clean, I just maintain with a carbon brush each play.