We had a few beautiful bowls around the house that weren't being used for anything. I decided to use two of them for our onions and garlic cloves. Now they are easily accessible for cooking with and it gives me a reason to have the bowls that I love out on the counter. :)
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I found this adorable onion-shaped microwave onion-cooker. I decided to purchase it and use it to store onions, which were cut apart, in the refrigerator. This way, by using an onion cooker for storage, it also serves to cook onions too when I need them cooked.
You can hang onions in the basement, garage, or coldest room in the house and they will keep longer. I tie the onions in old pantyhose and seperate them with a twisty tie so they are aired well and I can reuse the hose for next time or to filter oil or something.
Extend the life of your onions by keeping them dry. Use an old panty hose leg to hang them; tying a knot between each one is even more helpful.