To prepare the pico- In a bowl combine tomatoes, onion, peppers, and cilantro. Add lime juice and salt. Mix well. Cover and refrigerate for 1 hour.
To prepare the guacamole- In a medium bowl mash the avocados. Squeeze in or add lime juice. Add salt. Mix in onion cilantro, tomatoes, and garlic. Mix in cayenne pepper. Refrigerate for 1 hour.
Form the ground beef into 4 equal patties and season on both sides with salt and pepper. Place the patties into a large skillet over medium-high heat. Cook over medium-high heat, turning frequently until fully cooked (the internal temperature has reached 160 degrees F.). During the last few minutes of cooking top each patty with a slice of A white cheddar cheese. Cook until the cheese has melted.
Place each patty onto the bottom half of each bun. Top with a piece of lettuce, some guacamole and pico de gallo.