The pros at Nerdwallet do an excellent job of reviewing the best checking account options out there, with a quick, easy to read overview of the key features. Click the link below to evaluate for yourself. Simple is a relatively new player on the scene, combining a nice banking interface along with budgeting features. I use the platform and conducted a review here.
Nerdwallet also does a great job of evaluating the top online savings accounts in the banking space today. You should feel confident in deferring to their wisdom when making a decision about opening up a new account that fits your needs. They're like cupid between money nerds and banks.