There’s no voodoo to sharpening a hook. Draw a hook sharpener against the point of your hook a few times (parallel to the shank) on the bottom, and then take a couple of quick strokes to each side of the hook. Check it by drawing the fly across your thumbnail at a 45-degree angle. If it sticks into your thumbnail instead of sliding across it’s sharp enough.
You can use a fine emery board, a fine ceramic or Arkansas stone knife sharpener, a fine diamond file, or in a pinch a piece of fine emery paper. I really like the ones we sell, which are adhesive-backed boride hones that I stick to my snips. You can also stick one on a fly box, net handle, and any other handy surface. At $6.95 for two of them, it’s the best fishing insurance you can buy.