How to distinguish warblers/vireos/flycatchers?

Oh, warblers. So pretty to hear and so exasperating to identify.

There’s a mysterious bird in my neighborhood that emits a unique buzzy trill, and half a dozen times I’ve stalked close enough to get a distinct impression of warbler-ness (thanks for the “jizz” reference, Colibri) but not enough for field marks. Instead I am reduced to peering into a densely foliaged tree and muttering, “Sit still you little bugger, I just want to see you.”