I have found the Tri-Chlor is highly acidic, and, if you're not careful can lower pH surprisingly rapidly.
Di-Chlor is also acidic, but not nearly as much or as worrisome as Tri-Chlor.
CYA is technically acidic but its effect on pool water pH is virtually always negligible. Its effect on stabilizer level is more critical. It's better to slowly approach your target than go past it.

As far as the CYA level goes, as long as you follow the Best Guess table to match chlorine levels to CYA levels, you'll be fine.