As for the next Trek you should watch, this is probably an unpopular opinion, but I like Voyager, dammit. Not as much as I love DS9 (most brilliant ever ever ever, basically) and TNG, but a lot. It was flawed, but I still really liked it. I even thought the controversial and much-hated Seven of Nine was handled really well. Plus, the Doctor is basically awesome, and Janeway is awesome too.

And as far as I'm concerned, Enterprise isn't Star Trek (aside from maybe the first, possibly the second season.)