Spray a slow-cooker with non-stick cooking spray. Dice all of the vegetables.
Place oil in a large pot and place over medium-high heat. Add in the onion, garlic, jalapeño, and tomato, and saute for 5-7 minutes. Stir frequently.
Add in ground turkey and garlic, break up the meat, and cook until no longer pink. Add in chili powder, cumin, garlic powder, cayenne pepper, and salt; stir until the ingredients are combined.
Transfer the meat and vegetable mixture to a prepared slow-cooker.
To the slow-cooker add in the canned tomatoes, chicken broth, kidney beans, and black beans. Stir everything until the ingredients are combined.
Place a cover on the slow-cooker and cook on low-heat for 6 hours, or medium-heat for 4 hours.
Serve with your favorite toppings. Cheese, sour cream, jalapeños, etc.