Steering Wheel Shakes at 60 MPH

I’ll second the above poster’s advice. Also, maybe check the alignment, different cars are affected slightly differently by alignment issues.

Also, and maybe firstly, check the tire sidewalls carefully, inside and outside, are there any bulges? If so, you probably need at least 2 new tires then (meaning don’t just replace one, either the 2 on the back or front, but i’d never advise only replacing one tire).