A hat, for me, would be another thing to worry about losing. My two usual outdoor garments (a shell & a parka) have hoods for use when needed.

I do wish, tho, that someone would design a hood that was not rigidly attached at the neck so that it limits your peripheral vision. A pleated neck that would allow the hood proper to turn with my head would improve my life.

For the rare occasions when I want to be dressed respectably, I wear a sort of stocking cap with my overcoat. Then I have to pay attention to that & my gloves. But it's only once a year or so.