If a 1995 Olds Aurora hesitates and shakes really bad while driving what could this be?

Hey John==It sounds like it is missing on one or more cylinders.Have it checked out. Good luckJoe

Sounds like the tires you are using. Upgrade to a V rated tires. Mine are smooth. Get the intake cleaned. Made a big difference in mine. Use on Premium fuel.

It sounds like you are missing on 1 or more cylinders. On this vehicle, the coil pack is a likely ciulprit. They are a fairly easy change, and should go for $50 or less at a parts store. Going to a reputable repair shop and paying for a diagnostic test is worth the money. It could also be bad injectors. Fuel consumption will probably have risen noticeably for either problem.