French rolls, cornrows, twists, candy canes, pin curls, and barrels are some of the classics that will likely always be in style. If you want something edgy, you could try variations of the "Mohawk" style or shave one side of the head.
The guys wore three main types; like William Holden, Jimmy Dean or young Elvis with lots of grease and down over one eye, or a flat top or a Marine brushcut. The gals wore their hair sleek and smooth like Grace Kelly, or medium to shoulder fluffed a bit like a young Marilyn or Elizabeth Taylor, or a short clipped pixie like Audrey Hepburn, Leslie Caron, or Shirley McLaine in the Apartment. There was certainly a bigger variety, but these were the most popular. The decade starts with hokie June Allison, Doris Day flips and pony tails were popular throughout with teens; the teased up bee hives started around 1960.