Welcome!
You should know from past experience if your water is high or low pH. If you've been adding acid, you'll need it again. If you've been raising pH, you might be doing it again.... or it could just be the acidity from a steady diet of trichlor pucks that drove the pH down.
You will have no CYA in tap water, so that's a safe thing to buy in advance.
You will have to SLAM to kill any residual algae, so liquid chlorine/bleach will be needed. If you find a good deal, stock up on 8 or 10 gallons.
So stabilizer, liquid chlorine, and possibly something to adjust pH, which will be determined by testing. Not knowing if your pool is plaster or not, nor knowing the CH rest results, there's no way to know if you will need to address the Calcium Hardness or not.
Ultimately, it all depends on test results. And what is your "good testing kit"? If it doesn't have the FAS-DPD chlorine test, it won't work on a SLAM.