Did this problem happen all at once? If you hit a curb or monster pot hole it might be a simple alignment issue. Bad shock absorbers that are leaking fluid and no longer functional will cause pulling.
Also check the obvious, low tire pressure can cause pulling. If you have drum brakes and it pulls when trying to stop, you need to check the adjustment and the wheel cylinders. If they are leaking fluid, that will cause pulling when stopping. A wheel cylinder that is stuck in the deployed position will cause the brakes on that side to drag and pull the car to that side. Improperly adjusted brakes will also cause pulling. If you have disc brakes, check to see that both wheels turn freely and do not drag.
As mentioned above, check for loose or worn parts. Given the age of your vehicle, most of the rubber components such as upper and lower control arm bushings, strut rod bushings and stabilizer bushings are suspect. Look for cracks and pieces of rubber hanging out of the bushings. If you observe large cracks or missing chunks of rubber, the bushings are shot and need to be replaced.
The FSM gives detailed instructions on how to check ball joints etc.
Good Luck.
Dave