Pretty effective start to the series, and Ruby Rose gave a good performance, belying the criticisms I've heard about her acting. Interesting setup that Kate's narration is letters to Bruce, and that they were close while at the same time she resented Batman.
It's interesting how personal it all was. I was wondering what reason Kate would have for donning the cape and cowl rather than joining the Crows, and I was expecting something more plot-related, but it turned out to be the result of a pretty interesting family dynamic -- Jacob can't bear to risk losing another loved one, but because of that, he can't fulfill her need to be where the action is. Plus we've got the added family issue with Alice, which I'm glad they didn't drag out before revealing. Granted, as a rule I'm not crazy about shows where everything revolves around the main characters' immediate families, but it's a novel element to a Bat-related series (although there has been more of that in the comics in recent years, what with Damien, a villain claiming to be Thomas Wayne, and so forth).
It looked like they shot the pilot in Chicago -- and I think they used the same facade for that place Alice was holed up that they used for Arkham in Elseworlds. I expect they'll be back in Vancouver for the rest of the series.
I suppose I shouldn't be surprised at the lack of any connection to the larger Arrowverse. Makes sense that they need to establish themselves first. Still, I would've expected at least a minor nod to other superheroes or something.
I was wondering how they'd update Kate's origin story, given that it's based in the "Don't Ask, Don't Tell" policy that was revoked some years ago in the Army. It looks like they approached it as the policy of the specific academy they were at, which seemed more like a private military school of some sort.