I typically go for wool (top-left and bottom pics) or double-sided cotton (middle-right) as it's super easy to put a single stitch along the cut sides and let the edges fray. If you use the full width of the fabric, the selvage can be kept at the ends--no stitching needed on those sides.
Okay, so tucked in randomly (thanks for reading this far) is my gift to you! A link to 25 Ways to Wear a Scarf by Wendy's Lookbook. Best YouTube video ever, in my humble opinion.
Bar Agricole. Yummy food and cocktails marred only by not-so-super service. I wear this scarf every chance I get.