Special equipment: a deep-frying thermometer; a mandoline
For the BBQ spice seasoning: In a bowl, stir together the chili powder, granulated garlic, salt, brown sugar, onion powder, smoked paprika, pepper and cayenne.
For the potato chips: Heat 2 to 3 inches of oil to 350 degrees F in a heavy-bottomed pot or Dutch oven. Line a baking sheet with paper towels; line a second with a kitchen towel.
Thinly slice the potatoes on a mandoline. Combine the vinegar and 1 gallon cold water in a large bowl and add the potato slices. Let sit for 10 to 15 minutes, then strain. Spread the potatoes on the kitchen-towel-lined baking sheet; pat dry with an additional kitchen towel.
Fry the potatoes in batches, stirring occasionally, until golden brown, 3 to 4 minutes. Place the fried potatoes on the paper-towel-lined baking sheet and sprinkle with the BBQ spice seasoning. Serve warm or at room temperature.