Combine all ingredients in a large bowl. Using your hands, mix until all ingredients are thoroughly incorporated.
Form beef into 4 patties (approximately 6-1/4 ounces each). I used a kitchen scale to measure the hamburger mixture evenly, then used a burger press to form the patties.
Preheat grill to medium, and oil grates (the cheese in the patties will make the burgers stick to the grill).
After 1-2 minutes, use a spatula to loosen the burgers from the grill, but do not flip yet. (Loosening them now will keep them from sticking, but they need to cook a bit longer or they will fall apart when you flip them.)
Grill burgers for 3-5 minutes per side, turning carefully once during cooking. Cook burgers until the internal temperature is 160 degrees F.
Toast buns on the warm grill, and serve immediately with a slice of tomato and any other toppings.