You might check out Ally/Marcus/one of the other online-only banks. They're not convenient for things like cashiers checks (for getting an apartment), so I'd ge

You might check out Ally/Marcus/one of the other online-only banks. They're not convenient for things like cashiers checks (for getting an apartment), so I'd get an account at a bigger national bank as well, but I keep most savings in online banks, and then transfer to a national chain account when I know I'll need convenient access. And they tend to be incredibly convenient to apply for.