1.Try to use a neutral soap with pH of 7. Acidic soap will cause unnecessary irritation. First look at the main function of soap, which is cleansing property. Think of perfume etc. later. Wash your face gently twice a day and dry the skin. Apply your topical medicine after that. It will reach the depth of skin faster.
For a daily cleanser you can use a facial cloth or a non-foaming liquid cleanser.
2. Dove Cool Moisture Facial Cleansing Cloths:These clothes are thick enough that they hold up well when you're washing. The water-soluble cleanser embedded in the cloth works well for all skin types except very oily. The "cool moisture" comes from cucumber and green tea but the amount is small. It's not enough to cause irritation but also not enough to benefit your skin.
3. Clean & Clear Daily Pore Cleanser
This cleanser feels like a gel coming out of the tube and has a light lather. It contains microbeads that gently scrub the skin and help slough off dead skin cells. The beads break down in contact with water so they don't cause tiny cuts on the skin. This would be a good choice for someone with oily to very oily skin. It does contain witch hazel and fragrance, both of which can be irritating. But the amount is tiny and should not cause any problems for most people with oily skin.