This thing worked great. A project I didn't expect (but hoped!) to get done in one night actually happened. It works like a little jack hammer drilling into the cracks in the concrete. It broke it up into smaller manageable pieces that we could pry up with a crowbar.
Piece by piece we dug them all up until we saw the wire mesh. This was hiding under the concrete and was held down by little nails. We popped those up and ripped the mesh out to reveal the floor boards.
Such a glorious sight. the next step is to clear out the sides to make room to install the sub floor and underlayment which the new tile will rest on. To remove the perimeter tiles carefully, as to not ruin the wall tiles I used a mini-crowbar and a hammer to chip away at the grout. Then once it started to wiggle, I would reach behind the tile and slowly pry it out.
And now we are all set to install the subfloor! But that project is going to wait a bit while we handle some plumbing issues and make those wood floors we uncovered all new and pretty. T-minus one week until I move in, so hopefully this stuff gets done in record time! Cross your fingers for me :)