3. Pull the skin and any excess fat from the chicken breasts. Add the breasts to the pot along with the bay leaf, basil, parsley, thyme, some freshly cracked pepper, and eight cups of water. Cover the pot, bring it to a boil over high heat, then reduce the heat to low and simmer for one hour. Make sure the pot continues to simmer for the whole hour. If the heat is turned down too low and it is not bubbling away, the chicken will not shred easily.