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I got mine today, Tmo as well, blue 16 gig, obviously it's way better than my Fascinate.
First impressions are, I don't like the stock keyboard so I will be changing that, the display is very nice and bright, it's very snappy as far as transitioning through the home screens and app drawer.
So far the only problem I have is when I'm connected to Wifi it apparently shuts the cell radio off? I've tested this at work, while I'm on wifi, I can't text, can't receive texts and can't make or receive calls. I called my phone from my desk phone while on wifi and it went to voicemail.
EDIT: After a quick google search, apparently the culprit is wifi calling being enabled and they havent fixed that issue since the GS2. Disabling wifi calling restores connectivity.

I have been on forums and youtube to see some updated information aboug gs3 in US!! Mine is verizon, and the release dates keep getting pushed back. :/