Hi there, welcome to the forum. You should consider a few things when increasing tire size:
Clearance - will they rub suspension components or hit the body when the suspension is compressed?
Driveability - will the combination of your engine type, transmission, axle gear ratio, and increased tire size make the engine struggle due to the tire’s increased leverage on the powertrain?
Braking - are the brakes still up to the task with the tire’s increased leverage?
With all that said, 31” tires will probably be the maximum without opening any of the cans of worms listed above. They may rub the front lower control arms during tight turns, depending on wheel backspacing and tire width.
Fair warning - It is a slippery slope of modifications and exponential expenses.