A super simple way to remove wrinkles is to wet the silk, and spread it over a mirror. It will stick there and just let it dry. It will be wrinkle free!
Cute, but West Hollywood is far more into the silk thing that the Bay where it's more leather than lace. . .
All kidding aside, the big shows generally use a steamer such as would be used to steam clothing, just pen one edge of the silk to a clothes hanger or rod and hit it with some steam. . . you can use the steam control on a standard iron.
Steam is also the secret when it comes to feather flowers and bringing them back to life