Do it yourself! This is the short video clip that I uploaded to YouTube a few hours ago of me cleaning one of my vinyl records.
The rotating base comprises a few pieces of non-slip rubber mats, a lazy susan, a round chopping board and a piece of car rubber mat cut into size. The solution for cleaning the record is made up of one part iso-propyl alcohol and three parts distilled water, with several drops of dishwasher detergent. I use a brush to dig up the dirt loosened from the grooves and non-woven cotton swab to clean the record surface.
A very manual way of cleaning the records but it works, and that's the most important result!