Grinding Concrete Floor For Tile. I would recommend renting a grinder that has a vacuum attachment on it. Floor preparation is a very important step that's often overlooked or not done to an adequate degree. Be sure to overlap the grinding pass as close to the previous grinding pass as possible.

Designed specifically for masonry applications, the double row diamond matrix is comprised of hardened steel and embedded diamond fragments for fast and efficient removal of thinset, mortar, and other. When you begin grinding the concrete, you will create a lot of dust. On a side note a slightly rougher surface will help your mortar etc stick to the concrete.
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Be sure to overlap the grinding pass as close to the previous grinding pass as possible. Almost every project is different. When rough grinding, begin from one side and grind from west to east across the entire concrete floor. I think you're correct in trying to get this up though.