Recommendations for online bank?

We have banked with US Bank for about 10 years. In light of the news that they’ve been pulling a Wells Fargo on customers, we no longer feel we can trust them. We don’t have a particular need for a local branch, and the online-only outfits seem to offer better products and rates. Who should we be looking into? We will be moving our personal and business accounts over and we would prefer one institution, but we aren’t opposed to separate companies if it’s a better fit.