The line is the most important part of your fly-fishing gear. Start with a few 4X, 5X, and 6X leaders. These should be at least 7 foot, but you may catch more fish with 9 foot leaders. Tapered bass leaders work great for trout. A roll of each 5X and 6X will get you started.
Fluorocarbon is more expensive, but it is also invisible.
As summer nears a couple of ants and Joe's Hoppers. Check back here next time for more on flies. The hat does keep your face in the shade. But the best reason for wearing a hat is to keep the flyline and hook from hitting your face if a cast ever gets out of control. Some of us get a bit strange about our fishing hats.