The one with the best deal changes from week to week...and you can drive yourself crazy chasing the deals...not to mention you get no interest while the money is in transit. And some of those higher rates come with conditions.

I'd say, Pick one. Check on the rate every 3 months to be sure everything is still OK. Move only if you can get > 1 to 1.5% difference (and no weird hoops to jump through), and even then you might wait to see if your bank catches up.