Just filled the pool

[JohnT]

Test results are:

PH: 8.2
CL: 0 ppm
TA - 60

Which number should I adjust first?

Chlorine and pH. Pretend like there is no such thing as TA. Yours is fine and will be all summer, barring insane amounts of rain.

How does lowering the PH effect the TA?

It will lower it some.

How does raising the chlorine effect the PH and TA?

Not at all other than the trivial effect of the pH of the chlorine itself.