After chemical peeling, i suggest you to use product that can give hydrating, calming, and soothing effect. I think it also better to use product with minimal ingredients list and stay away from product contains acid like aha or bha, fragrance, essential oils, and alcohol in it.
If i'm not mistaken, harlette claim that their product suitable for sensitive skin, but their product still contains parfum. Hada labo still contains alcohol. And dear me beauty moisturizer contains lactic acid.
โ ๏ธBut this suggestion come from me, not an expert or dermatologist.
For more reliable and accurate advice, I highly recommend that you ask a dermatologist or professional who does chemical peeling for you.