My black backdrop was actually quite wrinkled, so in photoshop, in a separate layer over the image I painted over the wrinkles using a large, soft black paintbrush. I keep the opacity around 50%, and build layers of blackness, rather than to use a 100% opacity brush. Then went back and used a hard eraser to remove black from where I'd overlapped with the image.
Sometimes I am temped to buy a proper backdrop set up, the scroll of non-wrinkly matte plastic, with a stand (like a projector screen). I would save much time in photoshopping. There are cheap ones, for approximately $100. While I do prefer natural background photography, it is fun to do dramatic shots with backdrops.