For the start of the pool season it is best to aim for a CYA of 70 to 80, then hope it doesn't drift down below 60 by the end of the season.
Lowering the PH will lower the TA a fair bit, perhaps enough, perhaps it will need more adjusting later. Either way TA is fine for now.
There are several different systems the pool store might have. As a general rule pool store test results are not reliable, but in practice some stores are great, and some are not so good. If they are dipping a test strip and putting that in an electronic reader then don't trust it at all. If they are using vials of liquid in a reader that is much better.
I recommend the TF100 from TFTestKits.net. The Taylor K-2006 is also good. They both use the same chemistry, which is the best currently available.