Good for you for making the switch!  I recently started using jojoba oil as a makeup remover.  It’s a bit expensive (I recently paid about $10 for 2 ounces of organic jojoba oil), but completely worth it since it’s non-irritating, non-allergenic and multi-purpose!  I pour several drops in my hands and smooth the oil on my face and then remove makeup with a cotton ball - it works for eye make up, too! 

Jojoba oil spreads easily and absorbs into the skin, providing all-day moisture.  It’s also very similar to human skin oil, so it can “trick” the skin into thinking it’s produced enough oil and thus balance oil production.  Use as hair conditioner and lip balm, too!