Does the kind of gas make a difference? (87 89 91 93)

[Blender345]

So I am working for a real estate company doing landscaping and have to use my own car. Because I go to different places throughout the week they give me one free fill-up. This got me wondering, would using 89 or 93 octane fuel benifit my 1999 GL 2 door with 164,000 miles in any way? More gas mileage? Better for the engine or any other of the cars components? And if so, which type of fuel would be best to use? Thanks for your time guys.