Go to Settings -> Accounts -> E-mail and app accounts. Under "Accounts used by other apps," add your Microsoft Account. You should be able to sync a substantial amount of stuff, particularly using apps like Mail and People. I don't sync browser settings of any kind, so I can't swear that...
I absolutely love my Surface 3 - smaller and cheaper than the Pro, it's perfect for reading or watching content around the house, and I use it almost every day. I'd love to see them come out with an updated model, and ARM would be fine with me.
That pretty much summarizes my view as well (and I bought a black one from the Microsoft Store yesterday as well). My wish list so far: play music stored on my LAN. Give me the headlines I'd see in the News app on the PC or phone. When I ask for news, it seems to choose a random channel from...
Groove (the app) still exists and is still supported - it's just the subscription service that ended. Nevertheless, out of the box, the Invoke won't play music stored on your LAN any way that I can see. I think this is a necessary feature, so I'm going to be watching for it.
I think the thing that makes the Invoke compelling (so far) is that Cortana works on all your devices. The Invoke will let me set a reminder, from bed, that will trigger when I get to the office or at a certain time. That's going to be a big improvement from grabbing a tablet, logging in, and...
I'm not sure I think they owe me money, although that would be nice. What I think they owe me is to not abandon yet another product category. I wish they had done more with Zune (whose software is arguably still better than anything music-related they've shipped since). I wish they hadn't...