Alrighty then, I think I'm on my way. 24' x 52" AGP, about 12,600 gallons.

This morning's water test proved to be promising.

CYA: a little under 30ppm (30 is the lowest reading on the Taylor test kit)
ALK: 110
FC: >5 (5 is the highest reading on the Taylor) - this is promising since I haven't been able to keep chlorine in the pool until I added the stabilizer
Ph: 6.9 - I added three pounds of Borax, I'll test again tomorrow and add more as needed. This low reading was expected since I had been putting pucks in the skimmer to keep chlorine in the pool.

I'll test the Chlorine again this evening, but once the pucks I have in the floater have dissolved, I think I'll remove the floater from the pool and start with the bleach regimen. I should have this all dialed in over the next couple days, I expect.

In the meantime, it should be good to go to take a swim!