I recently bought a 1998 lexus es300 the car turns off randomly mostly when i make a left turn and when i crank it ,it starts right back up. When the car comes to a stop and i accelerate pushing the gas a little hard down it feels like it wants to turn off like it jerks , so i have to have a slow start once it catches speed i can press the gas hard with no issues , i recently did a tune up on it hoping somethin would change but still nothing , Check engine not on . Anybody have any idea what it could be greatly appreciated.

I’m gonna’ go with a fuel filter because I’ve experienced this on other vehicles.