Photos are most easily taken when the bugs/butterflies/hummingbirds come to you. When you're in the garden, don't be clamoring through like a bear, always be cognizant of what's going on all around (for instance: do you hear that hummingbird several yards away?), and stop and smell the roses! (I mean lilies, of course.
)
The only bad thing about zoom lenses is as you reach your focus with the telephoto, it's likely you shutter speed will be slower, and fast action images won't be so clear.