This turned out to be one of the easiest projects ever once I figured out what hooks to buy. The piece itself was so unique and pretty in itself, I opted for some simple silver hooks from Home Depot. I think they contrast nice with the shabby look of the shutter. Only trick is that I had to get different screws, because the ones that came with the hooks were meant to go into a wall, and were too long.
Once I had the supplies, I just made some quick measurements to make sure my hooks were spaced evenly, and drilled them in. Then I added a couple d-hooks to the back of the shutter for hanging. And here is the final outcome - functional and fabulous :)