Do no wash your kale before storing it. Kale is super fragile and because of all the grooves some varieties have, it is impossible to get it dry enough. Washing it before storage will only increase spoilage. Only wash your kale right before using it. Also, do not de-stem it. Kale is very sensitive. You only want to cut it and wash it prior to use. Here are some fruits and veggies that you should not store near your kale: Apples Apricots Avocados Bananas (unripe), Cantaloupe, Figs, Honeydew, Nectarines, Peaches, Pears, Plums and Tomatoes. Store Kale in a tightly sealed container in the coldest part of your walk-in cooler.