I was going to pull front wheels and check over rotors etc. Is having them "turned " and option or would it be easier and more cost effective to install new ones?
When applying the brakes, you can feel pedal pulse. on 1999 Chevrolet Cavalier
Drum brakes in back? If only pedal pulse (and maybe you feel a little shake in the seat) , and no steering wheel vibration , I would suspect the drums are 'out of round'. Even if it is disc on rear , with that symptom I'm still thinking rear brakes.
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WE turn rotors everyday, it's your choice. Some are beyond cleaning up.