While ShuttleCloud does not migrate AdWords accounts, Google provides instructions (below) to manually transfer a Google AdWords account.
1. Sign in to your AdWords account at https://adwords.google.com.
2. On the My Account tab, click Account access.
3. Click Invite other users.
4. Enter the Google Account email that you want to use.
5. Click Save Changes.
6. You’ll receive an invitation at your new email address with instructions for completing the changes.
7. To remove your previous Google Account email, return to the My Account tab and click Account access, then click Terminate access for the old email address.
You should now be able to sign in to your AdWords account using the new Google Account email and password.
More information is available here.