Well, as you are short hair, it is important for you to choose the right frame to compliment your short hair. I think round and oval frame sunglasses will suit for you. With their sleek and smooth design, it will make your short hair and your face look more softened, which will coordinate with your short hair to make you look nicer. Besides, as for color, I think you can try bright color sunglasses, such as red and purple and so on.
You can try on those resplendent big sunglasses to see whether they're suitable for you or not. Short hair can be pretty cool if you wear some characteristic sunglasses, otherwise it'll seem really plain.
However, never classify yourself in a certain category, because you'll miss lots of surprise if so. Choose different sunglasses to match your makeup and your clothes.
By the way, a pair of classic sunglasses is always needed. For short hair, most of the celebrated brands provide classic sunglasses.