Since broccoli has all those florets, you’ll never be able to rinse it and dry it well enough to store. So store it unwashed, definitely in the refrigerator, covered in some way to keep in the moisture and then wash it when you’re ready to use. If the florets start turning yellow, you’ve waited too long. Still edible, but not as nutritious and certainly not as tasty. The moral of the story? Eat your broccoli now!