I'm still quite furious that it's coming to the PS3 and not the PS4, but I shouldn't have been surprised. Atlus likes to milk a console dry, at the very end of the console's lifespan, for some strange reason. P3 and 4 were the absolute end of the PS2 lifespan... plus I think the PSP ports were pretty far into the PSP's lifespan too. Maybe they do all their coding with two finger typing and it takes five years.
Anyway, if you haven't played a Persona game, you should definitely look up Persona 3 Portable on the PSP/PSN (works with Vita) or P4 Golden (Vita exclusive remake of P4). They're incredibly addicting dungeon crawl RPGs with monster hunting elements and have shockingly likable characters. You'll definitely have favorite party members.
As far as story goes, P3 is more like a Harry Potter type of plot while P4 is closer to Scooby-Doo (that sounds like it would be dumb but it's really not -- many think P4 is the best they've ever made).