When applying the brakes, you can feel pedal pulse. on 1999 Chevrolet Cavalier

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?

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2 answers
WE turn rotors everyday, it's your choice. Some are beyond cleaning up.
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.