One of my favorite apps is Evernote. It is pretty simple. It is a note taking program that syncs across multiple devices. You should probably have some critical information at your fingertips at all times. Bank account numbers. Medical histories. Flight information. Birthdays of family members. Maybe even social security numbers of family members. Passwords. For a long time I have hesitated to tell people I use Evernote for passwords, but now with two-step verification, it would be almost impossible for someone to break into my account. Not only would they need my password, they would either need to use one of my devices or they would need to steel my phone. Plus know where my passwords are. Plus I don’t actually write down the passwords. I have clues for the ones for banks accounts, etc.
Two step verification is easy. I use it for my email as well. In fact, Evernote and Gmail use the same Google product: Authenticator to generate the 6 digit code that is seemingly randomly produced every 10 seconds or so. If I go to Evernote on a device I have not used before or in a long time, I will be asked to log in and enter my password, just like you do now, but then I am asked for a 6 digit number. I use Authenticator on my cell phone. Only the Authenticator on my phone will work. If for some reason I lose my phone, there is a backup email that can unlock it. Once I have gone through the two step verification, I do not need to verify myself for some time on that device again.