One trick is that you can enroll your TOTP codes on more than one device, the only thing the device need is the clock to be synced to provide the correct code.
You can store your TOTP codes in many places:
A mobile app like Aegis (Android) or 2FAS (Android, iOS). Those even offer a way of backing up your TOTP codes, but you need to take the proper measure to store them safely.
A password manager that can handle TOTP like Bitwarden (with a premium subcription) or KeePassXC.
A security key like the Yubikey 5 can safely store TOTP keys (up to 32) and generate them through the Yubikey Authenticator app.
That way you don’t get caught your pants down if one of your device dies, get stolen, etc. Also, keep the recovery keys / backup keys in a safe place just in case of a worst case scenario.
Keep in mind that your TOTP backup and Password Manager files like KeePassXC can be the weakest link in your OPsec if you’re not careful.