Security & 2FA
Each account has its own security settings, in Settings → Account. They apply to your own login, so every user can set them up.
Two-factor authentication

Two-factor authentication (2FA) adds a code from an authenticator app, such as Google Authenticator or Authy, on top of your password.
To turn it on, choose Set up 2FA, scan the QR code with your app (or enter the code by hand), then enter the 6-digit code to confirm. camera.ui then shows a set of backup codes; save them somewhere safe, as they're the way back in if you lose your phone.
Once enabled, you can regenerate backup codes or disable 2FA, both of which ask for a current code.
Remote instances
If the account on a remote instance has 2FA enabled, camera.ui asks for the 6-digit code when you add that instance, change its credentials, or switch to it. Only the code from your authenticator app works here, backup codes aren't accepted. A wrong code just asks again.
If you cancel while adding or editing, the instance is still saved, but its card shows Two-factor confirmation pending. Pick Enter code on the card to finish. Cancelling during a switch only stops the switch.
Biometric login (mobile app)
On a phone or tablet with Face ID or Touch ID, the app offers to save your credentials in the device's secure storage the first time you sign in successfully. Choose Enable to turn it on. If you pick Not now, the app won't ask again for that server.
Once enabled, a Sign in with Face ID button appears on the login screen, so you no longer need to type your password on that device. The Use Face ID / Touch ID switch under Settings → Account only turns biometric login off: it removes the saved credentials, and the app offers to save them again the next time you sign in.
Active sessions
The Active sessions list shows every device signed in to your account, with the current one marked. You can sign out a single device, or sign out all the others at once, which is handy if you've logged in somewhere you no longer trust.
API tokens
Integrations that talk to camera.ui on their own, the Home Assistant integration and the Apple TV app for example, sign in with a token instead of your password. Create one under Settings → Account → API tokens: give it a name you recognize later, and copy it right away, it is shown only once.
A token has full access to your account, so treat it like a password. The list shows when each was last used, and Revoke kills one immediately, which is what you do when an integration is retired or a token leaks.
Password
Change your password under Account. Changing your password or username signs you out everywhere, so you sign back in with the new details.