How to install basic open kitchen shelves (over tile a tile backsplash wall!)

We tore out the upper cabinets along the window wall of our kitchen in favor of a dramatic vent hood and open shelving. I like the look, the cabinets weren't that attractive (even if we had painted them like we did the rest), and they would let us show off our tile wall!

I did a little research on how to install shelves on a wall of tile (various results--you can put the hardware under the tile for floating shelves, even) but mostly just charged ahead with the plan and decided to figure i...