Does your landline support receiving (and more importantly displaying) those vital recovery text messages for verification codes that Google may send your way? Most countries don't.
The two factor account authentication ideally works on something you know (your secret password) and something you have on hand (your Internet connected device), and that any other person doesn't have access to both at the same time. In the case of your unused somewhere Nexii, they already have the know part stored on them as verified and trusted, and the have bit is whoever switches them on. This is why you change your passwords often, make the passwords difficult to guess, and log out the devices when they are not being used.
The amount of grief you could encounter by having your email access stolen should guide how much effort you spend on getting a password manager, and using it. Once it is set up, it usually looks after itself. You may not think that your email might be important enough to keep highly secure, but it could be hijacked by nefarious types to spread malware, spam, or even kiddie porn, and guess where the boys in blue come to visit first? They usually confiscate first and ask questions later.
For fun and frolics, try the following:
Open Firefox. Click on the hamburger menu (the three horizontal lines) select Settings, then Privacy and Security. Click on Saved Passwords. Recognize anything? Yes, everybody else that has access to your browser also has access to this information. This has saved many a frantic scramble in the brain cells for what the heck did I use for my password activity. The password manager basically does this too, except the passwords are encrypted from prying eyes and not displayed. This is also why you set up a screen lock for your unattended device and put a robust password on that too.
Be aware, be very aware...