1. Prepare the Chicken: Start by patting the chicken drumsticks dry with paper towels. This is a crucial step as it helps the seasonings adhere better and promotes crispier skin. Place the dried drumsticks in a large bowl.

2. Season the Drumsticks: Drizzle the olive oil over the chicken. Sprinkle the garlic powder, onion powder, smoked paprika, salt, and black pepper evenly over all the drumsticks. Use your hands to thoroughly rub the seasonings into the chicken, ensuring every piece is well coated. You want to see a light, even layer of spice on each drumstick.

3. Preheat Your Cooking Method: If baking, preheat your oven to 400 F (200 C). Line a baking sheet with parchment paper or aluminum foil for easier cleanup. If grilling, preheat your grill to medium-high heat (around 375-400 F or 190-200 C).

4. Initial Cooking: For baking, arrange the seasoned drumsticks in a single layer on the prepared baking sheet, ensuring they aren’t touching too much. Bake for 20 minutes. If grilling, place the drumsticks directly on the grill grates and cook for 15-20 minutes, turning occasionally, until they start to brown and cook through.

5. Add the BBQ Sauce: After the initial cooking time (20 minutes in the oven or 15-20 minutes on the grill), remove the chicken. Generously brush the BBQ sauce over all sides of each drumstick. You want a good, thick coating.

6. Finish Cooking: Return the sauced drumsticks to the oven or grill. Continue baking for another 10-15 minutes, or grilling for 5-10 minutes, turning once or twice. The chicken is done when the internal temperature reaches 165 F (74 C) at its thickest part, and the sauce is caramelized and slightly sticky. You’ll see a beautiful, glossy coating on the drumsticks.

7. Rest and Serve: Once cooked, remove the drumsticks from the oven or grill and let them rest for 5 minutes before serving. This allows the juices to redistribute, ensuring tender and moist chicken.