That will be easy, no need for a split domain configuration : I already have MXs and mail router in front of the Zimbra server. So I'll just have to modify the mail transport address of each LDAP account to redirect to Zimbra. There's no zimbra-mta package on the Zimbra server, it will use our existing smtp server.
No need to disable old POP accounts too, I will give "information in advance" to add an IMAP account for Zimbra in Thunderbird

I only needed POP for transparent migration, but if the users must modify their Thunderbird settings... it's better to use IMAP now. Then we'll introduce the full-featured WebClient
Maybe I should post an RFE to make the POP server use X-UID mail headers or something like that to reply UIDL commands ?
Thanks for helping,
Olivier