Many anglers would argue that cutthroat are even easier to catch than brook trout. They are less wary than most other trout and will strike practically any kind of bait or lure that is the approximate size of their food. Cutthroat are not as acrobatic as rainbows, but a hooked fish usually wages a strong subsurface struggle.
Use a "lake troll" rig, along with a small thin metal spoon, to catch cutthroat in clear lakes. The multiple blades imitate a school of baitfish, drawing cutts to the spoon.
One of the top lures for stream cutthroats, especially coastal cutts, is a yarn fly with a single salmon egg.