Most of the shampoos of reputed brands available in the market are okay for most skin types. In order to personalise according to skin type, you may have to consult your dermatologist. I would suggest any mild, non medicated shampoos like that of Dove or Dermadew but should not be taken as an endorsement of the brands.
Next Steps
Use the shampoos once a week only.
Health Tips
Contact dermatologist in case of any redness or itching of the skin.