Move all my Authenticator credentials to a new phone I have enabled 2 factor authentication, using Google Authenticator, for 6 services: LastPass, Dropbox, Evernote, Wordpress, Tumblr and Google. How can I transfer them all to my new phone?

I followed the instructions here, but the result of that was only that my Google account authentication was moved to the new phone. So, now I can access one account using my new phone, and need my old one for the other 5.

Surely there is a way to do this in bulk? I don't really need to do something special with each service provider do I?

New phone is Motorola Moto G3, old is Moto G. Both working. Neither rooted.
You should disable and re-enable two-factor authentication for each account. In the process of disabling you will be asked to enter the OTP from your old phone. As soon as you disable it you should enable it and add tokens to the Google Authenticator on your new phone.