There are many ways to do it. I like seamless paper but I also have at least 100 canvas backgrounds as well.
1) don't have wrinkles

get a steamer
2) lighting the background the right way.
3) move subject away from background so you can over expose (blow out) the white background and keep it out of focus. This also helps with shadows.
4) seamless paper works very good
5) You can also do in photoshop (I would try to get it right in camera though) try select by color range (it helps if the subject is not the same color as your background too.)
If you would like to post an image I can take a look at it and show you where your having troubles