Well, there are various smart ways to keep your over-the-door storage from swaying or swinging out. You can try using command hooks to stick on both your door and on the frame of the storage rack. Or you can also use good quality Velcro straps and stick it on one side of the frame and one side of the door, It will stick to each other and eliminate swinging. And you can also consider using zip ties to secure any multi-basket products from moving around.