Being challenged in the hair department I need to wear a hat in the hot sun.
I have a straw trilby, a wool trilby (bit too warm for summer), a couple of flat caps and I wear a baseball cap when clay shootin' (also to stop the 'smoked' clay fragments from peppering my bonce). I also have a hat which looks a bit like a French police hat but more informal.
I also have a leather Australian bush hat which I've had for about 28 years. This has been relegated to gardening duties.