Hi there John Paul. I've heard that the '63 front suspension is same as my '64 but not sure about the '62. Anyway, what you may find is the following:
Upper and lower ball joints with zerk fittings.
Upper and lower control arms have bushings. On my car, there are no zerk fittings however some folks will install them when replacing the bushings.
Stabilizer struts have bushings, no zerk fittings.
Steering links have zerk fittings so you can lube those.
Sway bar has bushings but no zerk fittings.
Shocks have bushings where they connect with the lower control arms and into the shock towers
The bushings on my car seem to be pretty much shot, just showing their age I think since the car does not have that many miles on it. On my multi year plan to have these replaced when I can get around to it. Meanwhile, the car tracks OK, it's just noisy.
Doug