You might want to try this method--it cuts down tremendously on the wrinkles and the ravels. I read about it in a quilting magazine years ago and have used the method every since.
First thing cut a small triangle off each corner of the fabric piece at the end of the selvages. This keeps the raveling to a minimum. Then working with the fabric folded lengthwise, accordion fold your fabric piece (working with selvage edge) --make your folds 6-18 inches wide, depending on the length of the fabric. When I am doing 2-3 yard pieces, I use the wider fold. Now safety pin the selvage edges together every 3-4 inches. (On smaller pieces, put pins closer together). You should have a very neat package to put in the washer. When it comes out of the washer, give it a good shake, holding onto the pinned edge, then put in dryer. I dry on med heat and use the extra care button (gives longer cool down). Give the fabric a shake when it comes out of the dryer. Unpin and press. Often it only needs a swipe with the iron.