I disagree about the cal-hypo. Keep it. You can use it for chlorine just like other chlorine sources. It is OK to use ANY source (bleach, cal-hypo, tablets) as long as you know what you are adding along with it. That is; cal-hypo adds calcium with chlorine.
Truth is, you need some of that now, just some, not a lot. Cal-hypo is also WONDERFUL for shocking a pool FAST. Like when you find something disgusting in the pool and you don't have 6 bottles of bleach -- grab that cal-hypo. The calcium boost is moderate in a one time use but you can really raise the chlorine fast. I do suggest dissolving in pool water, not broadcasting the cal-hypo for I think the floating bits contribute to water line calcium build up but this is just a guess. In fact, I am making a point now of reducing the pH a bit extra if I use cal-hypo, just to keep that line from forming now that we blasted the heck out of the pool getting rid of it.
If you occasionally need to add calcium, using cal-hypo from the biggest buckets sold is one of the most economical sources of chlorine. The cost of the chlorine is almost the same as liquid bleach but the calcium is nearly free and thus saves you on adding calcium booster. Or it was the last time I ran the numbers. It keeps a long time when stored correctly and so if you have the room to hang onto it, do. In fact, I suggest always keeping a big fat bucket of it on hand if your tap water is low in CH or you get a lot of snow melt water added to your pool in winter.
Now, you also need some CYA right away. Given that you may be at 0 or at 20, hard to be certain, you want to be a bit careful about going too fast in raising it up to 30 - 50 ppm. Were it me, I'd add enough CYA to get to 10 or 15 ppm, then go to tablets to increase it slowly after that. Your TA is high enough to use tablets without any worries.