Should I take the SAT or ACT to determine my pre-tutoring score?

No, don’t take the actual SAT or ACT before studying. You may need to take the test several times even after studying. But you don’t want too many official scores on the SAT because all of them may be reported to universities.
Some admissions officers look down on students who took the SAT too many times (perhaps three times or more).
Your Score Booster offers diagnostic tests to students even before before you start tutoring, during preparation and after preparation, so students can see their progress throughout the process.