First time Arkham series player

I just started playing these games and man they’re so much fun. I can’t believe I didn’t play them before. I remember a friend of mine kept telling me to play them back when Asylum had just came out and then same with city. I used to see the games every where but I just never got to it. I was obsessed with GTA games and other car games lol. I love that Asylum has a dreadful horror vibe to it. City doesn’t really feel the same, but it’s still super good. It’s a different vibe. More like a freak show circus type of vibe. I just finished Arkham asylum main story a few weeks ago, I finished the main story of Arkham city 2 days ago but I haven’t done all the side missions & etc. should I wait to do all that before starting Arkham Knight or can I start Arkham night without really missing anything super important?

And what what type of vibe does Arkham knight have? Playing Arkham asylum kinda made me want to get into more “horror” games but I don’t know where to start lol. That game gave me such a dreadful feeling idk how to explain it lol. But it was so good.