Hi Pola, and welcome to the forums!
When you want to use describe different aspects of something (color and texture, size and color, etc.) don't link them with hyphens. You really need to change your word order.
He was a young man with short, oily hair. (Not: short oily-haired man because you don't know if was the hair or the man that was short, and not short-oily-haired because we just don't do it that way.)
He had long, skinny, hairy arms.
He had big red eyes. (I hope he was a rabbit and not a person!)