Hello TJ and welcome to TFP!

I can attest that owner testing is priority #1. I recommend obtaining the TF-100 test kit (link below), and if you can get the speedstir, do that as well. You won't regret it and the great value. It will last a good while. The alternative is the Taylor K-2006C, but again the TF-100 is a slightly better value.
As for your current values, don't get too wrapped-up on all the items until the test kit arrives. For now with fresh water, focus on the following:
1 - The water needs stabilizer (CYA). It's hot now, so I'd ensure I had added enough stabilizer for a CYA goal of at least 40, maybe even 50. But start with 40 for now.
2 - You need free chlorine (FC). New water initially would be about 2-3 ppm, then once the stabilizer is in the water, keep it between 4-6 and never below 3.
3 - Keep the pH in the mid-7s.
You can worry about TA after the kit arrives, and CH may/may not apply depending upon your pool type. Speaking of that, make sure to add all of your pool info into the signature. It will help later. So for now, get the proper test kit ordered and you'll be on your way. Make sure to review/bookmark the vital links below i my signature as well. Hope that helps.