there is no difference between the PS4 and Vita versions.
Well before you start, here's the order I'd recommend:
1
2
Ultra Despair Girls
3 Future episode 1
3 Despair episode 1
alternate like that until you're done both
3 Hope
V3
There's also Danganronpa Zero which I admittedly haven't read yet.
Where is a good place to watch/buy the anime?
I have never watched an entire anime series before so I am very dumb about this but I thoroughly enjoyed the first game and will likely be playing the second game shortly.
I'm not planning on it!
But I'll be playing DR2 in the next couple of weeks and I figured I might as well get the anime thing figured out now while people are talking about it.
Also, do not play Ultra Despair Girls.
Watch a youtube LP after playing 2 if you want, but don't actually play that trash.