If 'shaking' is that noticeable/violent, the rotors may not be able to
be turned to the minimum safe thickness.....(if the rotors are the
problem)  Be prepared to buy new rotors.  Yes replacing the pads would
be the thing to do while you are at it....with either turned or new
rotors.

Dave S(Texas)

You may be able to turn them, depends on the thickness currently left,
and how much has to  be taken off to get them to where they should be.
As for pads, with 38k on them, they may be getting down to the point
where it would make sense to replace them now anyhow. That way either
you don't have to redo them later or have someone pull everything again
to put on new pads.
Best thing to be done to keep your turned or new rotors from warping is
to keep the lug nuts torqued to the proper ft lbs. This should be listed
in your owners manual. Unevenly torqued lugs with the heating and
colling of the rotors will always make them warp. Don't assume because
someone has used a torque stick to put the lugs on that they are
properly torqued. I always use my own torque wrench after any work is
done on my vehicle and whenever I do any work myself. That plus an
occasional re-torque.

This is not to discount what anyone else has written.  You should follow
that advise as you see fit.  In my case, it wasn't the normal things
you'd neccessarily look for that were causing the same problem.  The
culprit was the brake line itself.  At some point...I think it was when
the wheel bearing was going bad...the left front brake line was heated
and the rubber inside the stainless steel braid had deterioriated.  The
fluid would flow near normal to the caliper, but would be slow on the
return causing the brake to bind.  What made it hard to diagnose was
that there was no visible markings on the exterior of the brakes line,
nor was the flow noticeably different to the brake.  It took my top
knotch mechanic to figure out what the real problem was.  If it turns
out not to be the rotors, calipers, or pads you may want to look into it
being the brake line.

01 F350 PSD Crew Dually

I took my '02 F350 with the same rotor wobble into Midas brakes in Tucson.
They turned rotors (front only) and replaced seals (this is required on 2WD
not 4wd) for $ 75.00 in under an hour.
SMOOTH now.  Didnt replace the pads.

BTW, I got the price and job desc written up FIRST.

R