What kind of facial wash and lotion should I use after a chemical peel?

Each peel comes with its own specific post care instructions so I would advise you to call and ask the medical office that you had the procedure performed in. However, I can tell you that with most peels you do need to use only a gentle wash that is chemical free for the first week followed by a broad spectrum sunscreen. Depending on what peel you had done will determine when you would start using a moisturizer. Is some cases, a moisturizer can slow down or stunt the actual peeling process. You should allow approximately three to four days for the peeling process to start. It is very important that you do not pick or pull at any of the skin it should naturally slough off.  

Chemical peels, even mild chemical peels take time to work and heal.  The peeling agent injures your skin and this stimulates skin turn over which is ultimately responsible for skin improvement.  It is important to avoid further injuring the skin after a chemical peel.  Keeping the skin moist helps it heal faster than if the skin is dry.  Moisturizer is not always adequate to this task.  If it is working for you, great.  If the skin still feels dry or tight with the moisturizer, consider using a light amount of Vasoline.  This product is petrolatum whipped with water.  It is effective for moisturizing.  It is not ideal because is can clog pores and cause acne.  Once the moisturizer is working this is more cosmetic product than Vasoline.  Immediately after a peel, avoid home skin care products that contain acidity which can be irritating.  Retin A should be avoided for about a week or so after the skin has healed.  A number skin care products contain alcohols that strip oil out of the skin and these should be avoided after a chemical peel of any strength.