Do you use a bouquet garni to flavor your soups? If so, try tucking them into a tea ball instead of cheesecloth.
The beauty of the tea ball is that you’ll never have to “run out real quick to get some cheesecloth,” leaving you free to try endless combinations. Or you could use those massive tea bags to brew tea you buy in bulk. They come in various sizes, so— the biggest one. You get 100 or so in a box for ~$10. But a tea ball would be better, being perpetually reusable.