The Defenders: Crossover Catch 22

The Defenders is actually happening? I thought that was years away! Yay, it looks really cool - I love crossovers. I think there's something inherently fun abut watching a series of different internal aesthetics, story-logics, tonalities, etc, made between separate stories interact and illuminate eachother. The problem is that I haven't, er, actually watched any of the four shows...but I really want to watch the Defenders. While thinking that the crossover pleasure of watching it will be way lessened without having a good sense of the individual shows. But I don't particularly want to watch any of those shows. I just want to watch them interact.