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There are several things that can contribute to a vibration at all speeds.
The most common issues (predicated by the steering feeling loose) is the small u-joint coupling that connects the upper steering column to the rack and pinion assembly. These are known to rust and wear out prematurely.
Other causes are a bent or out of round wheel rim, an out of round tire, a bad belt inside the tire, excessive rust buildup inside the brake
rotor air vents, and wheel alignment being off causing tire wear. Another common cause are worn or collapsed motor mounts. This is very common on a higher mileage vehicle.
The recommendation here would be first to have the steering column u-joint inspected for looseness or rust. Replace if either is found.
Secondly, check the tires and wheels on a balancer...not only for proper balance, but for any movement that is abnormal. A good tire tech will spot this almost instantly.
If you have any questions, please feel free to reply
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