Make the Burger Sauce: Combine mayonnaise, ketchup, dill pickle relish, and Dijon mustard in a small bowl, then whisk until smooth. This sauce will add a tangy and creamy flavor to your burgers. Put it aside for now while you prepare the other ingredients.
Prepare the Patties: In a large bowl, mix together the ground beef, salt, and pepper. Mix gently with your hands or a spoon to avoid overworking the meat, which can make the patties tough. Form six equal portions from the mixture and shape them into patties, each about 1 inch thick. Keep in mind that the patties should be a bit larger than the buns since they will shrink as they cook.
Cook the Patties: Heat a cast iron skillet or grill pan over medium-high heat until hot. Lightly grease the pan with a small amount of canola oil to prevent sticking. Place the patties in the skillet and cook for 3-5 minutes on each side, depending on your preferred level of doneness. Add a slice of cheese to each patty just before finishing the cooking process. Cover the skillet to help the cheese melt perfectly.
Toast the Buns: While the patties cook, place the hamburger buns cut-side down on the skillet or grill. Toast the buns for 1-2 minutes, until they reach a golden brown color and a light crispness. Toasting the buns adds texture and prevents them from becoming soggy when assembled.
Assemble the Burgers: Start by spreading a generous layer of the prepared burger sauce on the bottom half of each toasted bun. Place a cooked patty on top, followed by your choice of toppings such as lettuce, tomato slices, and pickles. Top the assembled burger with the top half of the bun to finish.
Serve: Serve the burgers immediately while they are still hot. Pair them with your favorite sides like fries, a salad, or coleslaw for a complete meal. Enjoy your ultimate cheeseburger experience!