Pimento Cheese Stuffed Burgers

Name: Pimento Cheese Stuffed Burgers
Ingredients: 8 ounces extra-sharp yellow Cheddar, shredded; 4 ounces white Cheddar (preferably Vermont Cheddar), shredded; 8 ounces cream cheese, softened; 4 ounces diced pimentos, drained and juice reserved; 3 tablespoons mayonnaise; 1 tablespoon finely chopped fresh chives; 1 teaspoon garlic powder; 1/2 teaspoon cayenne pepper; 1/2 teaspoon smoked paprika; Kosher salt and freshly ground black pepper; 1/2 cup mayonnaise; A few dashes hot sauce; Dash Worcestershire; Pinch paprika; 1 pound 80/20 ground beef; 1 pound ground pork; 2 tablespoons plain breadcrumbs; 2 tablespoons Worcestershire sauce; 1 large egg, lightly beaten; 1/2 teaspoon kosher salt; 1/2 teaspoon freshly ground black pepper; Vegetable oil, for oiling grill grates; 4 hamburger buns, buttered and toasted; For serving: lettuce, sliced tomato, pickles,sliced red onion