Cook the bacon in a dutch oven until done. Remove the bacon, drain off all but 1/4 cup of the bacon grease. Cook celery, carrot and onion in the 1/4 cup bacon grease until soft. Stir in the minced garlic, cook for 1 minute more. Add cubed potatoes, toss to coat. Saute the potatoes 3 or 4 minutes. Place the fried bacon back in the pan. Add enough chicken broth to the pan to cover the potatoes, cover and simmer until potatoes are tender.