also to add on what Alex said above, are you going to migrate the EV server from domain A to domain B at some point too?
I did the same migration a while ago, and I simple took the EV out of domain A and join to domain B. It is prefferred that you create a new service account on domain B and use that as your domain A will eventually be decomissioned and removed (?), but of course you don't need to do this part until when required.
When you create the service account for domain B, you need to go through the same process that you created the service account on domain A etc.
