Put the pork, bay leaves, half an onion and the whole head of garlic in a large pot.
Add 6 cups of water or enough to cover the meat.
Bring to a boil and them simmer for 45 minutes or longer, until the pork pulls apart easily.
Strain the broth into a bowl and set aside.
Shred the pork into 1-inch long pieces with your fingers when it’s cool enough to handle.
While the pork is simmering, you can make the chili base. Discard the stems, veins and seeds from the chilies.
Put the chilies with the garlic cloves and half a white onion in a pot.
Add 3 cups of water or enough to cover.
Bring to a boil and then turn the heat off and let the chilies sit in the liquid for 15 minutes (they will expand and become softer).
Now puree the chilies, garlic, oregano, onion, and soaking liquid in a blender until smooth.
Strain the blended mixture and discard any solids.
Heat 3 tablespoons of oil in a pot and add the chili base, bringing it to a simmer.
Cook for half an hour or until the mixture is dark and thick.
Drain the canned hominy and rinse it, then put it in a pot and cover with water by a couple inches and simmer.
Pour the chile base into the hominy and add the shredded pork and pork broth plus 2 teaspoons of salt.
Simmer for 30 minutes.
Ladle the hot pozole into serving bowls and top with the garnishes.