In a large bowl, combine the chicken wings with the pickle juice and buttermilk. Make sure all the wings are submerged. Cover the bowl with plastic wrap and refrigerate for at least 2 hours, or overnight for best results.
In another bowl, mix together the flour, garlic powder, onion powder, and sugar. This will be the dry coating for your wings.
Fill your deep fryer or large pot with frying oil, enough to fully submerge the wings. Heat the oil to 375°F (190°C). Use a cooking thermometer to check the temperature for accurate frying.
Remove the marinated wings from the refrigerator. Let excess marinade drip off before coating each wing in the flour mixture. Shake off any excess flour and set aside on a cooling rack.
Carefully add the coated wings to the hot oil in batches, being careful not to overcrowd the pot. Fry for about 8-10 minutes, or until they are golden brown and crispy. Use a slotted spoon or tongs to remove the wings and place them on the cooling rack to drain excess oil.
In a saucepan over medium heat, combine the red hot sauce, distilled vinegar, Worcestershire sauce, and butter. Stir until the butter is melted and the sauce is well combined. Taste and adjust the heat level if necessary.
In a large mixing bowl, combine the fried wings with the Buffalo sauce. Toss them until all the wings are evenly coated.
Plate the wings and garnish with celery and carrot sticks. Serve with blue cheese and ranch dressing for dipping. Enjoy your homemade Buffalo Wings Recipe with friends and family!