It all depends on where you are and where you use your phone...of course, right?
That should be your priority. I have AT&T and it's great here in DC.
Here is an interesting blog post on the carriers and the Note2. Interesting points. As well as this one, which I have heard before:
Samsung Galaxy Note 2: AT&T to Verizon - Which U.S. Carrier is Best?
ATT fails over to HSPA+ if no 4G LTE/as you leave 4G LTE areas?that?s enabled in their chipset. I?ve read this before in greater detail, but the article I sent you did mention it.
Finally, a nice perk that the AT&T Galaxy Note 2 offers is the fact that it runs on both of AT&T?s 4G networks. That means that while it runs on 4G LTE, it will run on HSPA+ where 4G LTE isn?t available. HSPA+ is much faster than regular old 3G and 3G is where Sprint and Verizon?s Galaxy Note 2 will run should 4G LTE not be available.
Other carriers do not do this. Verizon falls back on CDMA 3G. Sprint has more coverage than T Mobile, but far less than ATT/VZW it seems. However, Sprint is ok in some metro areas, like DC, so it depends on your location.
Tmobile is also planning to have LTE?but, again, is nowhere near the coverage as the big 2.
Here is T-Mobile?s full statement in regards to the capabilities of the Galaxy Note 2:
The Galaxy Note II features a Qualcomm 9215M chipset which provides the hardware capability to support both HSPA+42 and LTE. T-Mobile plans to reach more than 200 million Americans with LTE by the end of 2013. The Galaxy Note II will not automatically access T-Mobile?s LTE network. We will share more information on how and when the Galaxy Note II will support T-Mobile?s upcoming LTE network when the network is available.