Car vibrating over 60 MPH- new brakes or new tires?

I had good luck without even balancing the cheap tires I used to buy for my Tempo and Escort, Toyota and Mazda. You probably have a balance problem. I was a little lucky but I didn’t have the certain speed balance problems commonly associated with spin balancing. I didn’t want vibration at 40, 55, or 65 MPH. For a while it seemed guaranteed to happen at one of those speeds if I had the tires balanced by questionable experts or machines.