Clash-of-clans – Clash of clan confused

At first, you must log out from your existing game center account "Before" you wipe all of your data. After you do that, you install the game and after you install it, play it. After you do all of that, you will be noticed to sign in to your game center id. You just use your game center id without having a new GC id. After you sign in, you will be noticed again with another pop up saying do you want to reload your village at town hall level "X"? If you want to totally reset your village, just tap the no button. And if you want to reload it, just tap yes :) simple, right? And 1 more thing... don't use backed up data if you are still in the "New user" page, you must get it back "AFTER" your device already passes through the new setting ("New user" page) of your new device. (Back it up after you install clash of clans)

from https://productforums.google.com/forum/#!topic/webmasters/XTmiHxe-VsI

Log into the google+ account, select the "Home" drop down in the upper left hand corner. Select "settings", Scroll down to about half way down and select "Manage apps and activities", Select the edit (pencil) tool for clash of clans and select "disconnect". Make sure you check the box that asks about erasing all activities for this App. It takes about an hour for Google to erase all data for the app, but after that you can then re-connect with the account you want to use.

and another one http://cocland.com/tutorials/removing-clash-of-clans-from-google-account

This was not an easy thing to track down via Google or even clicking through my Google+ account menus. Hopefully this may help others.