run (one's) fingers through (one's) hair
To pass one's fingers through someone's or one's own hair, as to tidy it or in an affectionate manner. I quickly ran my fingers through my hair to try to make myself look a little more presentable. I love running my fingers through his wavy chestnut hair.
run one's fingers through one's hair
and run one's hand through one's hairto comb one's hair with one's fingers. I came in out of the wind and ran my fingers through my hair to straighten it out a bit. He ran his hand through his hair and tried to make himself presentable.