kitchen
廚 centers on a kitchen: the place where food is prepared and cooked.
廚 combines 广 (building) with 尌, which likely contributes the sound. The character originally referred to a kitchen or cooking area within a building.
Under the roof 广, the complex inner shape 尌 suggests a busy kitchen with many tools and containers. Picture a bustling kitchen inside a building.
For シュウ, imagine a chef shouting 'Shoo!' to shoo people out of the kitchen: shoo -> シュウ, and the kitchen stays orderly.