Hi John, thanks for your post - i will start this same project in a few weeks. Do you you sill have your 63? MannyHi.
It's really not very hard to lift the body off, and with a hard top you don't need to worry about bending it. The roof makes the car very stiff and you'll be lifting it evenly. Convertibles are more bendy, because you only have the floor connecting the front with the back.
Remove the front fenders and sheet metal leaving just the body from the firewall back. Remove all the bolts, wires, linkage etc. You can raise the car high and lower the chassis to the floor, then roll it out using floor jacks. Or use a couple of engine hoists to raise the body up and roll out the chassis. You can use chains with hooks under the rocker panels, or heavy rope under the car, evenly spaced of course.
Then just lower the body onto jack stands, or better is to make a frame with wheels to roll it around.
I've done it both ways and lifting the body with hoists is easier. It doesn't need to go very high either, remove the tires to lower the chassis onto floor jacks or moving dollies, you just need enough clearance to get it out.
Take your time, and you will be fine.
Hope this helps,