OK, so it wasn't as mindblowingly awesome as I was hoping it would be, but I still enjoyed it overall. It really did feel to me like Trek done in a modern style. The scenes on the Shenzou would not have felt out of place on one of the other series, which is a good thing for me.
The 3 big characters, Burnham, Georgiou, and Saru were pretty interesting. Burnham seems like she should be a good lead. I don't have a problem with her connection to Sarek, and I look forward to seeing more of their relationship.
I'm not quite sure what to make of the Klingons at this point. I was one of the big defenders of the new designs, and I do like it and don't think there was anything wrong with changing their look, but now that I've seen them in action I'm not so sure. I was hoping there would be enough recognizable elements that they would still feel like the Klingons we saw in the other shows, but other than a few references to Sto-Vo-Kor and Kahless there really wasn't anything connecting them to the familiar Klingons. I'm not going to totally write them off, because approaching them without the other shows in mind, I thought they were really cool. I love that they are doing all of their dialogue in their language, it really makes them feel a lot more unique and alien. There were some interesting ideas in there, like the Sarcophagus Ship, and the whole thing with Vow.
There were a few instances were some of the dialogue was a bit awkward, but I think a lot of that was just due to this being the pilot, and the writers and actors still needed to find their groove.
I did like it enough to subscribe to CBS AA and I will definitely keep watching.