Hesitating

Hello, I'm Danny.

Unfortunately, I would ask if you've changed the fuel filter. I'm sure you haven't due it being built into the in-tank fuel pump assembly. I would suggest performing a fuel pressure test. It sounds like you may have a faulty or weak fuel pump that is not providing adequate fuel pressure especially under acceleration. Also, Having 200,000 on the car leads me to believe this is the issue as well. Here is a tutorial showing what is involved for testing fuel pressure:

https://www.2carpros.com/articles/how-to-check-fuel-system-pressure-and-regulator

The correct fuel pressure for your car is attached as a picture below for which ever model you own. After performing this get back to us with the test results and we'll then help diagnose. Hope this helps and thanks for using 2CarPros.