Flat extension cords vs round extension cords: Flat wins for under rugs and doors, but neither is a permanent solution
Flat cords are better because they create less tripping hazard and reduce wire damage risk, while round cords under rugs cause bumps and strain insulation. But even flat cords trap heat under rugs over time, so use a floor-rated cord and avoid pinching under furniture. For doors, add a rubber threshold cover to prevent crushing.