You should only chemically exfoliate as a general rule, and definitely only chemically exfoliate on a regular basis. Mechanical exfoliation will likely just make your skin worse.
Get an alpha hydroxy acid or salicylic acid.
Begin with using it only once a day every other day. If that goes okay you can move to everyday.
Find a cleanser that works for you and again every other day and then eventually once today. Oily skin types might need twice today.
Use a moisturizer morning and evening. Your morning moisturizer should have sunscreen in it and preferably greater than 30 SPF.
What does that look like all put together?
- Wake up in rinse your face off with water or use a cleanser if you have oily skin.
- Pat face dry and put on moisturizer with sunscreen.
- At night wash your face with the cleanser.
- Every other night...Apply very small amount of your chosen chemical exfoliant.
- Let dry.Apply moisturizer.
If your skin can you use exfoliant every night then you can get a moisturizer that has one built end so you don't have so many steps.