It might be obvious, but in-bin protection is a must. Would pillowcases be enough for Phasma-chrome? Or would custom made wrap pieces be needed? I know many FOTKs already wrap their armor carefully in padded sleeves each time they suit up and down to keep paint damage at bay.
I use travel pillowcases for my OTTK armor. They're much smaller than standard pillowcases and can be had by the dozen on amazon. I don't protect as much now as I did when I started trooping, but a thin pillowcase around each armor piece helps. I tend to use them now more to keep the bin clean from my HWT weathering than for keeping scratches from happening. Scratches are easy to buff out of ABS...
As far as protection for the chrome finish itself, it can be waxed like any car paint. Often it IS paint on the armor and not actual chrome plating. Try a synthetic wax that isn't just carnauba. I'm a big fan of Ammo NYC products. Reflex wax + Skin top coat protects for most of a year on my car's paint. Easy to apply and it smells good too.
I hope that's at least a little help.