I moved to Sling Blue from Verizon FiOS a couple of months ago and I'm quite happy.
I have the new interface on all 4 (yeah, I know) of my Roku devices, and I'm limiting my comments to them, as I'm not a big fan of streaming on my Android. There were some real glitches with the new interface at first, but they've largely straightened them out already.
I've seen other complaints about the DVR with the streaming channels - but honestly I am quite happy with it. I almost never use FF/RW - I generally use the skip functions, and I find it works very well. When a commercial break comes, I can skip ahead in 30 second increments, and the thumbnails (which appear instantly for me) make it very easy to see where you are. One the program reappears, I just skip back 10 seconds once or twice. I find it's better than the FiOS Quantum DVR I was using.
The AirTV Anywhere I am also using is another story, The DVR, quite plainly, sucks. There's no thumbnails at all, so it's impossible to tell where you are, so it's a struggle to find where the segments begin. And it's very laggy at times. Plus I swear there's a bug that sometimes jumps you back to the beginning of the segment you're watching instead of forward in the recording. So this is the biggest issue for me. I am a big Late Show fan, and since CBS isn't one of the streaming local channels, I'm forced to record the OTA signal, and it can be tedious to watch.
Which is my only other real issue - I'm hoping - longing - for the day when CBS and ABC are included in the streaming package. Between that and a AirTV DVR improvement, I'd be fine.
Also, since you mentioned PBS, the AirTV Anywhere - which I do recommend in spite of its shortcomings - allows you to stream more than one PBS channel. You'd have a great signal in NYC - I live about 15 miles outside of Manhattan, and I can receive 60+ channels perfectly - many of which can be interesting, some of which I've never even heard of (and, as an aside, several are in Spanish if that is meaningful to anyone reading this). And the new interface integrates the OTA seamlessly, and they are also available on the mobile device.
I'm a big Yankees fan, so not having Yes is an issue for me - although I'd probably care more if they were having a better season. But for now I'm stuck with national broadcasts or the few still shown on PIX11.
Anyway, that's my mini-review. I'm quite happy with it after many, many years with cable and I'm optimistic it will continue to improve, and hopefully remain a budget-friendly alternative.