When pulling away while turning the vehicle shutters?

So, I'm not sure if that is a suspension or drivetrain or transmission issue, intermittently? I bought the vehicle listed above LTZ used last October and so far, it has been a good vehicle. I had to replace all of the shocks and pump as well as the A/C condenser.

I do not know the history so curious to know what items I should have serviced to help prevent any issues or just good maintenance for high mileage?

The only concern I have is sometimes pulling away while turning the vehicle shutters so I'm not sure if that is a suspension or drivetrain or transmission issue. It's intermittent and I cannot reproduce it over and over.