Galaxy Nexus Owner Thinking of Getting SIII

Now that the Verizon version of the Galaxy S3 has been unlocked, I'm strongly considering getting it.

Do you think it is too close to the new Nexus to be released to jump on the S3 or is the S3 worthy enough to make the upgrade now?

My issue with the GNEX is the radio. I feel like I'm always jumping between 3G and LTE and I'm not sure how much of it is my phone or how much of it is my location. I tether my phone all the time and I cannot stand when I'm not getting a 4G signal. One second it will be locked on to 4G with 2 or 3 bars, the phone doesn't move an inch and switches to 3G with no bars....grrrr.

Has any owners of both the GNEX and S3 noticed a better signal from the S3?