I would NOT use Tri-chlor tablets or Di-Chlor powder with those numbers.
Your pH is good but on the low side --Still a "not broken so don't fix it". And, if it's stable at 7.4, don't mess with TA--leave it. If you find pH trends down using just bleach you'll want to increase TA. Baking soda will increase TA, Borax will increase pH, ordinary Washing Soda (same chemical as pH Up!) will raise both pH and TA.

CYA is high but manageable. I keep mine at 60 for my SWCG.

I would definitely switch to using bleach/liquid chlorine. 1 gallon of 6% bleach (if you can find it ) will add 2ppm of chlorine. 1 gallon of 8.25% bleach will add 2.75ppm of FC. If your pool is clean you need to keep FC between 5 and 10 ppm to maintain it.

If you decide to use Cal-Hypo, watch your Hardness level and don't use it once it reaches 400.