Know the weave you are after. For a silk-like cotton sheet, closely woven percale sheeting is the best option. Flannel cotton sheets, with a twill weave, maintain a raised surface that delivers a fluffy appearance along with an ultra soft and cozy feel. For some stretch in your sheets, the plain-stitch knitted jersey sheet would be your best bet. And for a more luxurious appearance, the sateen weave would be appropriate with its weave construction placing most of the threads on the surface.