I am not a fan of coconut oil for skin as it is not as light as some of the other oils. It can clog your pores if not used in moderation. I personally like almond oil, I massage generous amount and use a warm wash cloth to wipe of the make-up. Then I use a face wash to remove any remaining makeup. Finally, I use rose water as a toner then aloe gel as moisturizer.
Hope this helps.