Pierce potatoes in several places with a fork and place on a baking sheet.
Add 1 tsp olive oil, salt and pepper to the chicken breast and place on the baking sheet next to the potatoes. Cook in the oven for 10 minutes.
Cut up your broccoli while the potatoes and chicken are cooking. Drizzle broccoli with 1 Tbs olive oil. Remove the pan from the oven and add the broccoli. Cook for an additional 15 minutes, or until the juices of the chicken run clear and the potatoes are softened.
Cut the potatoes in half and use a fork to mash the inside.
Add your toppings to the potato. Slice the chicken and put ¼ chicken breast in each potato half. Add broccoli, cheese and a drizzle of BBQ sauce to each potato half. Place back into the oven for 3-5 minutes to melt the cheese.