Which App Is Best Suited to Sync Google Contacts?

"Contacts Sync" is the recommended app for syncing Google contacts.  You can download it at:
https://itunes.apple.com/us/app/contacts-sync-for-google-gmail/id454390333?mt=8

While "Contact Mover" can sync Google contacts, "Contacts Sync" is the better choice as it offers the following advantages:

• Using "Contacts Sync", your Google contact updates will appear on the web immediately at google.com.  With "Contact Mover," there will be a delay, as "Contact Mover" depends on iOS to transfer changes to the web, and iOS sometimes stalls.
• Using "Contacts Sync," you can sync your Google contact groups so that they appear on your iPhone.  "Contact Mover" does not have this capability.
• Using "Contacts Sync," you can sync a Google account even if it is not configured in your iPhone Settings > Contacts > Accounts.