I agree with the silicone comment - I use amodimethicone, which resists buildup, and enjoy the results. I clarify once a week also.
Yes - the oil goes in while wet - a little goes a longggggggg way. Just any organic virgin coconut oil will do. It is solid at room temperature & melts in your hands.
I CO wash with V05 and/or Suave condish and clarify with Giovanni 50:50.
APL - BSL - WL - HL - BCL - TBL