Ouch! I'm not really that knowledgeable about masonry pools, so I guess I'd start with where you want to be. I'm guessing here and corrections by those who are more familiar would be welcome.

Start by testing your fill water BEFORE you fill the pool so you know what's in it and where you're starting.

FC: Depends on your CYA level, but initially, until you reach a CYA of 30 you'd want it to be between 2 and 5ppm.
CC: Try to keep at zero
pH: You'll want to keep it in the standard 7.2-7.8 range. While your pool is curing expect it to rise so keep muriatic acid handy.
T/A: Your target for Total Alkalinity is 80-120ppm.
CH: Calcium Hardness or Hardness. Masonry pools require 200-400ppm
CYA: Stabilizer. We generally recommend a minimum of 30ppm, though higher can be manageable or desirable.

How to get there:
I'd always start with chlorine--keep anything from growing.
If you start with Cal-Hypo (get it at least at 56%, 65% is better) then you're adding chlorine and calcium at the same time. If your water is already hard and in the 200-400ppm range, don't use it. You'll get about 7-8ppm of CH for every 10ppm of chlorine.
If you start with Di-Chlor powder you're adding an initial dose of CYA with your chlorine, too. About 9ppm of CYA for every 10ppm of chlorine. It's slightly acidic.
If you start with Tri-chlor powder (don't see it much) or tablets, you're getting chlorine, CYA (6ppm for every 10ppm of Chlorine) and it's very acidic.
If you start with bleach/liquid chlorine you'll have to add CYA and possibly calcium flakes as well.

You cannot mix them together in a slurry because it's extremely dangerous. I think, though the most important things to control first are chlorine and pH, after that calcium and T/A, and finally CYA (which can take 48 hours to a week to get to the right level).

I cannot really advise you beyond this because I'm just guessing. But with most chems if you wait an hour or two before adding the next, you're OK.

A lot of it is preference. You may start with a dose of Cal-Hypo to get your FC up, then when it's dissolved fill a floater with Tri-Chlor pucks. Or you may start with Di-chlor, and then fill the floater with Trichlor, and a little later add calcium. Or you could start with bleach/LC, add calcium flakes and tie a stocking filled with CYA to the side of the pool to dissolve. All will work.

Just don't dump everything in at once.