I'm always a little wary of keeping a lot of money at financial institutions I don't know. I guess they are all FDIC insured (or NCUA) but for me it is just a preference to know and trust the place. I also like a good website UI and for my money to be easily accessible. I use Ally which has a decent rate, but not the highest.

I don't worry too much about the rate because I really try not to keep too much in savings. You seem to be puting hundreds of thousands in savings. Are you sure you need that much liquid cash on hand? If you want it to be safe, but don't need it to be perfectly liquid, you could consider US treasuries. Even a 1 year treasury is like 4.65% right now. And you don't pay state tax.

But if you really want it in the bank it is up to you as to whether or not you want to bother with changing over. It is probably safe and if they drop the rate you can move somewhere else. It just depends on if the money is worth the bother to you.