put the peas in a heavy dutch oven
wash and clean peas as described above
cover with three quarts of water
cook over medium heat until it comes to a boil, reduce heat, and simmer 45 minutes or until the peas are soft and falling apart
chop the vegetables if you haven't already
quickly saute them in a frying pan with a little olive oil over medium heat just until soft, 5 minutes or so
add them to the peas, add a half cup of water to the frying pan and deglaze it add that to the soup too
chop the ham into bite-size pieces add it to the soup
add the broth, Italian Herbs, bay leaf, and the smoke flavor if using
let the soup simmer for another 30 minutes and then taste for salt and pepper add as desired
simmer for 30 minutes or so and it's ready to serve, if it's too thick add a little water to thin it down and bring it back to a simmer, if you added more water and it's too thin let it simmer a little longer