The elephant ear, a tropical, I (here in Ohio) just dig up, put in a paper bag, and leave them in the basement for the winter. In louisiana you should be able to just leave them in the ground all the time, no reason to dig and store.
Iris is a more northern plant. I leave it in the ground. You might need to dig it up, put it in damp sand in a plastic bag and store it in the frig for a few months, to give it proper chilling.
Just as a little tutorial, iris are generally rhizomes, not corms. Rhizomes grow horizontally with roots coming off the bottom. Corms grow vertically, unbranched, with roots coming off all over. Elephant ears, though we call them bulbs, are actually a tuber, like a potato. A bulb is a kind of modified stem which has layers which will become the stem leaves and flowers of the plant. A tuber is solid; it is a food store with buds or eyes on the end which grow, to form a plant, that lives off the tubers food store for awhile.
Just a little technical stuff, which only us garden geeks pay attention to.