Drain and separate clams and juice from cans and reserve 2 cups of clam juice in a large measuring cup or bowl. Set aside.
Cook bacon in a Dutch oven or large pot over medium heat until fat is rendered, about 10-12 minutes. Remove half the bacon to a paper towel-lined plate. Reserve 1 tablespoon bacon grease and add 1 tablespoon butter to the pan over medium-high heat.
Add celery and onions to pan with bacon. Cook for 5-7 minutes, or until onions are translucent. Add potatoes, garlic, and dried parsley. Sauté 60 seconds.
Stir in chicken broth, reserved clam juice, clams, bay leaves, salt, and pepper. Bring to a boil, then reduce heat to simmer and cook for 15-20 minutes, or until potatoes are tender.
Discard bay leaves and stir in heavy cream. Cook for 2-3 minutes, or until heated through.
Optional step to thicken soup: Combine cornstarch and water in a small mixing bowl, and whisk until smooth. Carefully pour slurry into the chowder, stirring constantly for 2 minutes to avoid clumping.
Garnish with reserved chopped bacon, oyster crackers, and fresh parsley, if desired. Enjoy!