Point publication to a new distribution database

Hi All,

We currently have our distribution database on the same server as our publisher.  I want to move to a 3 server architecture (1 for the publisher, 1 for the distributor and 1 for the subscriber due to load issues).  Do I need to completely rebuild my replication (multiple publishers and subscribers in place currently) to do so?  Can I gradually move over - i.e. point one publication at a time to the new distributor or can I only have 1 distributor for all publications on the same server?

Thanks,

Laura