I did this some time ago. I replaced the rubber bushings (both at the swaybar ends and where the swaybar clamps onto the car frame) with polyurethane bushings from Cox Racing. These bushings turned out to be thicker than the originals for the swaybar ends. So I modified (shortened) the metal spacer tubing somewhat (you'll see what I mean when you take up the job). When you remove the swaybar from the frame, you need to take care to mark the exact positioning on the frame, since there is an adjustment to the geometry there. The whole job is very easy and quick.
I decided to get a four-wheel alignment done afterwards, because I was not certain whether I had made the modification correctly or upset the geometry. These alignments are not very expensive, and if you don't know when it's been done the last time, I would definitely have it done. Do try to get a place that is experienced with older cars and has the correct specifications.
Cees Klumper in Amsterdam
'69 white 280 SL automatic