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There are plenty of ways, the one like most is to Transfer all to GMAIL-Contacts and make the same gmail account on the Android phone.
Later while using the Android phone always save new contacts in the GMAIL account, this will automatically keep a backup and will auto-populate the contacts whenever you will buy a new Android phone and setup the same Gmail account, with Contacts-Sync.
HOW TO DO IT
Then
Click on the Gmail logo, located at the top left corner of your dashboard.
Click the “More” dropdown menu in Contacts, and select Import.
Click Import again. The contacts will be automatically synced to your Android device(s), connected to this account.