These are so tropical in the Ohio landscape. It's worth it to save them and dig them up yearly, keep them from freezing. The next spring you have the bulb to replant. Cheap, cheap, cheap, and nothing to dead head.
DIY Tip of the Day: Hide Vinyl Edging. Nothing beats vinyl edging for keeping weeds out of your flowerbed. It’s inexpensive, flexible, durable and widely available. But it’s not pretty. For a more appealing border, install the vinyl edging, then place landscape stones or bricks along its inside edge. The vinyl keeps the grass out and the casual observer will notice the stones, not the black strip in front.