I just got an iPhone 7. But my email address book has merged with my phone number contact list. How do I remove the email addresses?
iCloud for Web can be used to restore the contact list before merging. Go to iCloud Settings and under Advanced click Restore Contacts.
Go to Settings > Contacts > Accounts and select the email account that is showing on your contacts.
Switch "Contacts" off on that account. It will warn you that those contacts will be deleted from your iOS device.
Tap on "Delete from my iPhone".
I recommend to chose one "email address book" and work with it so it becomes your phone/email/etc address book: this way you'll have a copy of your information synced and available in case your device has a problem, and it will simplify migration.
If your email contacts are from work, you can open an iCloud account or another email service to sync personal contacts.
You can browse selectively between contacts when you have more than one account source.
On the Phone or Contacts apps look for "Groups" on the top left of your screen. You can select there between your different accounts Contacts.