Earlier quoted context omitted.
Authy / Google Authenticator / 1Password have built-in TOTP generators. They have great UX and are much more secure.
Don't save your TOTP codes in your password manager if you are going for the "best" security. That turns multi-factor auth back into "single factor auth" and leaves you one exploit away from having your password and TOTP code from getting stolen.
Am I misunderstanding something? Or did you mean OTP rather than TOTP?