With a $1000 budget, get yourself a set of UMI upper A-arms (link below), and replace the rest of your front suspension parts like the lower ball joints, tie rod ends, bushings, ect. with a good factory-equivalent like Moog. And finally, a new set of shocks.
You'll go over budget if you pay a shop to do this. You'll need a couple of specialty tools for this job: a coil spring compressor, and a pickle fork to separate the ball joints. You should be able to rent both of these at any local auto parts store.
When you're done, you'll need to get an alignment.
You could get away with keeping the stock upper A-arms if that pushes your budget too much. But the shape and geometry of the stock arms limits your positive caster. You can get more positive caster by switching to the UMI arms, and more positive caster is going to help make your steering feel snappier and it'll make your car feel like it's on rails when you're driving at highway speeds. They are well worth the investment.
1964-1972 GM A-Body Tubular Upper A-Arms, 1/2" Taller Ball Joints - UMI Performance Inc.