I LOVE hats. Plus, I'm pretty fair-skinned, so it works.
I bought this hat a couple of years ago: http://www.jcrew.com/catalog/p.....=cat301261
and I wear it when I'm in the back yard, gardening, laying on the beach, or going on a picnic.
I have a hat cut similar to this:
http://www.jcrew.com/catalog/p.....=cat301261
But in a light-blue colored, faux wicker (I'm not sure what material it is), that I wear when I'm walking around like to the market or something similar.
I'm actually considering buying that last hat. Since I bike commute, carrying an umbrella isn't the most practical, but with a fancy coat, my wellies, and that hat, I could be stylish in the rain, too! (Sorry to get off topic).