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I've made some weapons into props, and am trying to place them so they're leaned up against a wall in ZE, but I can't even get them close enough to the wall, as the movements of props can be a bit... choppy, you might say. Anyone know of a way I could more precisely place my props?

You want to disable grid snapping. ;o
Click the "Grid" button in the "Snap To" panel in Object mode to disable grid snapping.

Worked like a charm. Thanks!