kitchen
庖 centers on the kitchen as a place for food preparation. Its meaning is straightforward and tied to the physical space where cooking happens.
庖 combines 广 (building) with 包, which likely contributes the sound and suggests wrapping or enclosing, perhaps referring to a room where food is prepared. The exact historical development is uncertain.
Under the roof 广, the shape 包 looks like a wrapped bundle of ingredients. Picture a kitchen where wrapped food is stored and prepared.
For ホウ, imagine a kitchen where the chef shouts 'Ho!' as they wrap food: Ho -> ホウ, tying the sound to the wrapped bundle inside the building.