I've used many types of backdrops over time.
My recommendation : get the Westcott wrinkles-free backdrop. There is nothing like it, and so far no other brand has released the same type of cloth.
It's really amazing. What makes it different is that it stretches. Simply hang the backdrop and use a few cheap hardware clamps to stretch it and attach it to the vertical poles, and no more wrinkles. Ever.
Here's what you get with a regular backdrop. Not bad but not great because there will always be texture, especially if you color it (even if you keep it black, you'll spend time removing the small features catching the light):
Here's the same type of image, with the Westcott: