Using a pastry brush (or in a pinch, a paper towel over your finger), coat the inside of the Bundt pan with shortening. Be thorough. Then cover this ... a baking rack on top of your Bundt pan ...

The reason a Bundt pan works for ... reduce cleanup is to cover the hollow tube with a couple squares of aluminum foil. That way the chicken's juices won't leak onto the stove or baking tray.