Before we even begin work on our floating shelves, we had to change some of the configuration of our kitchen. You can't see it, but behind the open shelves on the right, there's a pocket door to close off the kitchen (which we'll never use, but it's there.) Because of this, there are not enough studs in the wall to support the sheves that we were planning on building. We really liked the look of our see through cabinets on the left, so we decided to remove those, put them where the open shelves are now, and then build the floating shelves on the left wall.
We started by emptying the shelves: