I second the 'get a silk pillowcase idea' - I've been sleeping with a silk scarf thrown over the pillow and thought it worked well but I've just had 2 charmeuse silk pillowcases as a generous birthday present and they are much, much better.

They are really comfortable and have cotton backs so they don't slide around and my second day hair is now nearly as good as the first. My hair also feels different and much less rough when I wash it.