Hello gio1929,
Welcome to Apple Support Communities!
We understand from your question that you want to take FaceTime Live Photos. We can certainly help you with this!
It may be that you have orientation lock on which is why the photos appear to be horizontal orientation.
Rotate the screen on your iPhone or iPod touch
Take a Live Photo in FaceTime on iPhone
We hope this is able to resolve your issue. If you have any more questions or this does not resolve your issue, please reach back out on the thread!
Cheers.