I too am blessed with soft water, which makes everything easier and better.With my newish razors I just clean and dry the head with soft cotton or a tissue, I havent seen any dirt on my chrome Wilkinson or my Gillette Tech. I live in a soft water area so no water marks or scum.
I should be much more concerned about keeping my brush hygenically clean, even though it is stored on a stand upside down it remains wet all the time and probably with soap fat traces in the bristles.
I have a 3 piece.When Im ready to shave I put it together and use it.I am wondering how you clean your DE or SE razors.