In a blender combine the tomato juice, lemon juice, lime juice, horseradish, Worcestershire sauce, garlic powder, pickle juice, and hot sauce and process until smooth. Transfer to a nonreactive container and add celery salt and black pepper, to taste. Refrigerate until thoroughly chilled, at least 2 hours and up to overnight.
When ready to serve, fill each glass with ice.
Add 1 ounce of vodka to each glass, then fill the glass with the bloody mary mix. Stir well, and garnish each glass with your favorite veggie, pickle, celery, pickled green bean, or a pickled okra.