I ditched my brick-and-mortar bank years ago for a higher yielding online savings account. A few years ago, I moved my checking online too. I still kept a checking account open that wasn’t online because of the issue with mailing in checks. But with online banks now accepting mobile deposits, there is no need.
While you cannot earn the interest rates online that you could 10 years ago, the benefits to online banking (in most cases, absolutely free) are still a perfect reason to switch. If you are unsure, do as I did and “dip your toes in”. Once you see how great it is, you can jump in all the way. Below are banks that I use or highly recommend.