Cannot pair my Apple Watch with my new iPhone.

My Apple Watch was paired with my old iPhone. I unpaired it (right now the old phone says "If you have an Apple Watch, you can pair it with your iPhone here"). I try to pair my Apple Watch to my new iPhone and will will not pair? If I look at the settings in my Apple Watch it still shows all the old iPhone info. What do I need to do to get the Apple Watch to pair with the new iPhone. FYI: all 3 are on the latest versions, all 3 are fully charged, and the WiFi signal is strong).