Depending on the diameter of the TMJ (if it's plated), you may need to use lower powder charge than FMJ load data. Generally, using start to mid range jacketed load data for plated bullets is a good idea.
FMJ is jacketed bullet (usually copper/brass disc punched to form the jacket) over soft lead core with exposed lead base (see bullet second from the left).
TMJ/CMJ bullets may be FMJ with round disk to cover the exposed lead base or copper plated lead bullets with plating covering the entire bullet with no exposed lead (see plated bullets below). If you see a round disk with at the base of the bullet, it's FMJ with a disk to enclose the exposed lead base (see bullet on the right below).
FMJ bullets with exposed lead base provide better obturation (bumping of the base to seal against the rifling/bore) for tighter bullet-to-barrel seal and more consistent shot groups. Some FMJ bullets even have concave lead base to improve obturation.
Most of your plated bullet diameters are sized between jacketed and lead bullets. Example is .355" for jacketed 9mm, .356" for lead and .3555"/.356" for plated (PowerBond and Berry's plated bullets - Rainier plated is sized at .355").
As to loading and performance, I find the FMJ with exposed lead base like Montana Gold provide the best performance (due to better obturation) and can be pushed to max jacketed load data. I typically load plated bullets using lead load data or low-mid range jacketed load data when lead load data are not available.
With JHP or plated bullets sized to jacketed diameter, bullet base may not obturate as much and leak more gas around the bullet base/rifling (this will cause chamber pressure drop and may affect accuracy). Some bullet manufacturers address this issue by concaving the bullet base to help obturate the base (see Montana Gold JHP and Rainier plated bullets below). I normally push these bullets to high-near max load data for more consistent obturation and shot groups.
With larger diameter plated bullets like Berry's and PowerBond, there's tighter bullet to barrel fit and less gas leak around the bullet base/rifling. This is the reason why Berry's recommend to use start-mid range jacketed load data. The tighter fit and less gas leakage translates to higher chamber pressure and more consistent shot groups.
Finally, Berry's offers Hollow Base plated bullets that's designed to obturate even better than regular plated bullets (see bottom picture). The hollow base and larger bullet diameter provides even tighter bullet base/rifling fit, even at lower powder charges. Here's a recent comparison hollow base bullet thread -
http://www.thehighroad.org/showthread.php?t=581070