Braided – quite a bit heavier, marginal performance gain, harder to fit initially, more crash resistant and virtually kink proof. will also make neater runs with tighter curves more easily.
Plastic – significantly lighter, cheaper. Slightly more spongey, easier to trim, more vulnerable to crash damage, can be kinked easily in crashes.
Around 2007ish for a couple of years, I ran braided hoses, since I was going through a period of crashing all the time and was replacing plastic hose alot. Since I’ve got over that and plastic brake hoses and brakes have improved (I.e less spongey), I don’t bother anymore.
YMMV