Status identities are completely portable between devices.
Here’s a step by step on how to synchronize your chats across multipe devices:
It will ask for a name for your device, then you can click on Advertise your device
do the same on the other device
you should see now in the same section 2 devices
enable them on both phones
from now on, if you open a public chat it will open on both, if you send a private message it will be shown on both, if you add a contact it will be added on both