When I was younger, I would move for 0.25 or something.
Now that I am older, I would not. I have all my auto-pays set up. My bank is a good bank. (Ally). Their interest rate has always been competitive, usually a hair below whomever is the leader at the time, for over a decade now. They have never messed anything up. On the rare time I've used customer service, they've been polite. They let you shift between checking, saving (and linked CDs as they mature) with ease. They sync with a lot of websites (tax preparers, mortgage loan applications, personal capital). Their app and website are good and there's a pretty bar chart there. It works. It's a total waste of my time to spend hours running after bank after bank after bank when everything is currently fine right now.
If they dropped their interest rate to close to zero like some other banks (see, e.g., leaked memo from Bank of America, "let's screw over our customers they've already set up their direct deposits and autopays so they won't move"), I'd leave in a heartbeat.
Combination time value of money and wanting to reward an institution that's treated me fairly over the long term.
If you think that in the long run CapitalOne vs. whomever UFB is will be a wash in terms of interest rate because UFB will eventually drop their rate (pretty likely bet I am guesing), then I probably would not bother. There are more effective ways to spend your time.
I am always impressed by how much people here make bank account churning, but I've never done that either. I deal with too much boring paperwork in my day job. It's like death by a thousand papercuts. Cobbler's children going barefoot and all that.
