How can I clean tile debris from the bottom of my pool?
You have two choices:


Drain Pool and it hit with a scooper, shop vac, and broom.  If refilling it isn't a big deal this is definitely the fastest way by far.
Buy something like a pool leaf eater .  You will still have to scoop out the big stuff.  I have used a simple plastic dust pan to do this.  This process will keep you swimming but could take 10 vacuums over the course of a few weeks to get everything out.