Put the tomato juice, Worcestershire sauce, horseradish and hot sauce in a pitcher. Squeeze in the juice from the lemon and lime wedges. Add the salt, celery salt and pepper. Stir to combine with a tall spoon.
Divide the vodka between two tall glasses filled with ice. Fill the glasses with the Bloody Mary mixture and stir to combine.
Garnish each glass with a celery stalk and skewers of your favorite condiments, including (but by no means limited to!) cherry tomatoes, cornichons, olives, pearl onions and more based upon what you have!