I don't think the difference of 0.39% is worth jumping through many hoops, but yeah, Discover, CITI and a few other banks have higher yield savings.
Your next option if you want to stay FDIC insured is CD accounts (locking your money for a period of time, let's say a year), they offer slightly higher APY, maybe up to 0.7% currently.
There are some compared here: https://www.bankrate.com/banking/cds...#best-cd-rates
Moving up from there, you can get into US Government Treasury bonds, which would yield you 1-3%, but you'd have to lock your money for a couple of years or so, and buy bonds in 2-5k chunks. Your money there would not be FDIC insured, but still backed by the "full faith in the US government". Most banks also have affiliation with some brokerage firms, for example Bank of America works with Merrill Lynch, and they can open both bank and brokerage accounts and have them linked to each other for easy money transfer. You don't have to buy risky investments if you don't want, government bonds is just another very safe option I am throwing out there as food for thought.
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