Prepare all ingredients as listed.
In a bowl, mix the ground beef with Worcestershire sauce, salt, and black pepper until just combined, then form into burger patties.
In a bowl, mix the ketchup, mayonnaise, and mustard until smooth and fully combined. Set aside.
Heat a skillet or grill pan over medium heat. Cook the burger patties to the desired doneness. If using cheese, place a slice on each patty during the final minute of cooking and allow it to melt.
Toast the hamburger buns cut side-down in the pan or on the grill until lightly golden.
Assemble the burgers by spreading the sauce inside the buns, then layer with lettuce, tomato slices, the burger patty, red onion, and the top bun.
In a large glass or pitcher, combine the sparkling water, lemon slices, and chia seeds. Stir thoroughly, let sit briefly, then stir again to prevent clumping.
Serve the cheeseburgers alongside the carrots and hummus, with the lemon chia sparkling water.