For sensitive skin Cetaphil Dam is a good moisturizer. Epilyno, emolene, venusia max are few other good moisturizers. However, when a person has oily skin, the oil on the skin acts as a barrier and prevents loss of moisture thereby preventing decreasing the need for the patient to apply moisturizer in addition. However, due to the oiliness on the skin (particularly) the face there is tendency for dust and dust settling hence cleansing face 2-3 times a day would be recommended followed by applying a moisturizer that suits your skin to prevent dryness from regular cleansing.