That's lovely!
As others have said, try a steam press before anything else.
Personally, although a turned up hem is the traditional "correct" way, I love the bound hem. If the steaming doesn't work, then could you try something lighter weight for the binding?
I often use "wondertape", a double sided washaway tape, to stop edges cut on the cross from stretching out as I sew, it's great stuff. It also doesn't often get washedaway before I wear something.