As neil154 mentioned,and for later use, Sync phone to Gmail. before you change phones.
Before I started using Periodic Auto sync I left auto sync turned off.
Just before putting in new contact I would turn on auto sync, then turn off 5 minutes after adding contact.
I have Periodic Auto Sync set to turn auto sync on every 4 hours, just for 1 minute. Now I just add a contact and let Periodic Auto Sync do the rest. My contact list now always stays up to date with Gmail.