Preheat the oven to 425 degrees F (200 degrees C).
Scrub those potatoes, since the skins are the best part. Then stab through the skin of the potatoes with a fork so that they don't explode in the oven. Then place them on a pan and bake them in the oven for 45 minutes to a 1 hour (until tender - test with a fork).
While the potatoes are baking, disassemble the roast chicken and pick all that meat off, shredding as you go. You can do one bowl of light meat, one of dark, if you've got picky eaters.
When the potatoes are done, cut them open and pile on the cheddar cheese right away, so that it melts nicely from the heat. Then put them on the table.
Heat up the BBQ sauce, if that's how you like it, then bring the sauce and chicken to the table to pass around. Everyone can pile on their own chicken and sauce. As least, that's how we do it in my house.