I think there are some lengthy threads that cover this if you use the search tool. I try to keep my fingers off the hair altogether as the finger oil is detrimental to good friction. I just take the excess rosin off the strings with a cotton cloth.
Read the threads on cleaning carefully when you find them. You might check all of the posts by Bob Branstetter, a bass luthier of note. I think his were the most informed and most detailed, Scot.
