Need to check the balanceing of the front tires. Then check the tie-rods for play. THE FRONT TIRES COULD HAVE A BELT BROKEN.
The steering wheel wobbles, because of the unconditional pressures from the ground that is adjusted at speeds when it reflects gravity.
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Unbalanced wheels or a bent track rod
Bent rim. You may rotate it to a rear wheel to reduce or eliminate wobble.
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possible warped brake rotors. have a reputable mechanic check them.
To remove the steering wheel from your 1985 Chevy Celebrity: First remove the horn button. There should be a keeper at the tip of the steering shaft, remove it. Remove the nut that holds the wheel in place. Use a steering wheel puller to actually remove the steering wheel.
Removing a standard steering wheel from a Chevy Cavalier requires taking off the lower steering column and horn button. The steering wheel is held on by mounting screws, after removed be sure to unplug the horn wire.
Get an alignment.
Most likely a tire problem or a bent wheel/rim. There is a chance it is due to worn out components in the steering or front suspension.