Probably best to check the chlorine and pH each day especially until you get your CYA to where you want and you kind of learn how your pool is going to behave.

In regards to your question about what I keep on hand at home ------ I typically keep 2 or 3 boxes of Borax and baking soda. I use Walmart 8.25% bleach and probably buy around 8 jugs at a time and store it in a cool utility room in my basement. That lasts me a couple of weeks, maybe a little longer. I live 5 minutes from a Walmart so no reason to store up large quantities. My pH tends to fall rather than rise so never need muriatic acid.