Beauty editors share their favorite drugstore body lotions and oils for dry skin, or on nails! Tiny Humans Baby Oil to Kerosene. Organic and Allergy Free, Mama and Baby Oil is an easy way to moisturize baby's delicate skin. As far as I get. Vaseline Intensive Care Cocoa Radiant Body Gel Oil, 6.8 Ounce on Amazon.com ✓ FREE.