If you really love them have a professional sharpen them. Take them to a fabric store if you can't find one any other way. Most professionals pick up from stores like that several times a week.
The angle on scissors can be a problem if you've never done it before. When you buy a set of Spyderco stones they have instructions for sharpening anything that cuts.
Never use a power tool to sharpen anything to care about. It will heat the blade and take away the temper.

Rusty <><