Stop what you are doing and go play Persona 5.
I've never played a Persona game before, think its time i do!
Same here. Should I play or watch previous Persona game/videos before diving into Persona 5?
No need. Just play 5, and if you're craving more afterwards, pick up Persona 4: Golden for Vita (I suggest PSTV). There are only very minor references in each game, and it has no bearing on the overall story. So far in 5, I've only seen two references to 4, and they were nothing more than a poster on a wall, and a mention of someone's nickname on a news report (and I'm around 65 hours in).
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