Heat extra-virgin olive oil in a large pot over moderate heat. Prep the vegetables by chopping/or peeling them. Keep them in separate piles.
Add each vegetable to the pot in the order they are listed, waiting a couple minutes between each vegetable before adding the next.
Add bay leaves and season vegetables with salt and pepper, to taste. Depending on how thick you want your soup, add 9-12 cups of broth to the pot until it's the ratio you prefer. Bring it to a boil.
Add diced chicken, return soup to a boil, and reduce heat back to moderate. Cook the chicken for 2 minutes and then add the noodles. Cook the soup for 6 minutes or until noodles are tender. Remove soup from the heat.
Stir in parsley and dill, remove bay leaves, and serve.