Have them specify the MODEL # of the filter, pump.
Get the largest filter you can afford. Many year like the Pentair Clean&Clear PLUS, or Waterway in either 420 or 520.
Get an intelliflo3 VARIABLE speed pump. The 3hp is nice. Then you don't need a timeclock, and VSP will save you $$ on your electric bill.
Ditch the chlorinator. Quickest way to kill a heater, and they are expensive. Have them quote a salt water chlorine generator that is 2x the pool volume.
Boost pump/pressure side cleaner is not in my wheelhouse. Some like them some don't. Booster pumps are an added cost and maintenance. Might consider, not a recommendation, a robot.
Be careful on the bead blasting:
In general with any kind of blasting work, you want to match the blasting media so that it is as hard or harder than the material you want to remove but not so hard that it damages the underlying substrate. As you can see from above, the kierserite and glass beads will satisfy the first criteria BUT the glass beads can also cut into the tile glaze.
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