Android already in sync with Google
Android contacts are typically synchronized with a Gmail account.
You can simply sign up to Covve and link Covve to the same Gmail account.
To see if your Android is in sync with Gmail go to Settings > Accounts > Google and you'll see the list of google accounts available. Click on each and check if "contacts" is enabled.
Android not in sync with Gmail
If your your Android is not in sync with Gmail you need to:
1) Add a google account
Go to Settings > Accounts > Google and add a Gmail account. When added make sure that "contacts" are indeed being sync
2) Copy your existing contacts into this account
Go to your Contacts, click on the menu button and select "Move device contacts" and select your Gmail account