Well here's what I did I refilled pool as you might recall and settled upon using just test strips (I did use a proper chemical test kit but found that that was subjective too and decided that for my purposes of making pool generally good, strips are fine).
I added no CYA, of course the level was zero.
I used three tablet floaters and put two tablets in each. Initially each morning the free chlorine was very low, I added a gallon of liquid over the course of each day, made that a daily routine. Naturally the free chlorine would rise sharply then slowly drop again during the day.
For at least ten days that was the cycle, but then I could see that the free chlorine was slowly rising each morning so I eased off the tablet floaters and liquid chlorine, the number of tablets was reduced.
Now about three weeks since it was refilled, everything seems stable, I stopped adding liquid chlorine a week or so ago, and now just rely on tablets and keep them loaded reasonably well, I'll eventually remove one of the floaters.
Every morning I check and free chlorine is in the 3 region (it was clearly almost zero when I started this) so I am now relying only on chlorine tablets but the current CYA level is close to zero, so by never adding any of that explicitly I've kept the CYA level lower and thus increased the effectiveness of the tablets and it will now take much longer for the CYA to get to problem levels.
I'm curious how long it will take for the CYA level to eventually reach 30ppm, the level it would have been if I had added it directly at the start. Because the tablets contribute CYA I saw no real need to initially add 30ppm, if I could supply the liquid daily for long enough to get stability.