But to get the butterflies, you need to shoot handheld. The trouble is that my longest zoom lens doesn't have image stabilization so camera shake is a problem. I suppose if I practiced more shooting handheld, I'd get better at it.
Yesterday, spurred on by Eve, who comments here faithfully, I gave it a shot and managed to capture these characters.
never in one place for more than a couple of seconds
(it's probably a katydid, see comments)