I have a chemical burn from adding a little bleach to my bath; now my skin burns and what should I do?

Oatmeal bath. Never put bleach in the bathing water---even dilute, bleach will irritate the skin. Try a soothing aveeno (oatmeal) bath and use moisturizers. If this does not resolve with a day or so, see a dermatologist.
Superfast Healing. The real question is what not to do that slows down healing. Avoid using alcohol, peroxide, hibiclens, betadine, and bleach solutions. Inflammation ( red, hot, swollen, tender) is important to healing so anti-inflammatories (motrin, advil) are bad. Cover the area with a clean dressing changed every other day and protected from trauma. Antibiotics do not help healing unless it is truly infected.