Starting a new exfoliation routine

I already somewhat have an exfoliation routine, but I've recently been thinking about switching it up. As of now, I use an exfoliating brush (pictured below) to apply my cleansers 2x a week but I want to start exfoliating with chemical exfoliants. I already know my skin HATES glycolic acid. Can anyone recommend exfoliating treatment products (please no cleansers) that are sensitive skin friendly and beginner friendly? I'm particularly eager to try treatments with lactic acid or salicylic acid in them as my skin really loves them but I'm open to other ingredient recommendations as well!