I just rinse thoroughly with hot water after each shave. Give it a good cleaning with each blade change which for me is after 4-10 shaves. Use baby wash (gentle and effective) and an dedicated razor cleaning only tooth brush to get it shining like new. Have been using this on my Weishi Long Handle that is basically chromed brass/zamac and razor is as good a new with no signs of any corrosion.This has been the hardest thing to search for on the forums. I have gotten everything from "my new soap, a review" to "how to store my collection". This site's search function must be backed by google, it's as bad.
Back onto the topic. How do you all clean your razors? I will admit I have really only cleaned my razors a few times over the years, even using an automotive type cleaner my razors did not get fully clean. Even after using more safe cleaners to clean off the automotive type cleaner the razors still had scum and the like on them.