How to migrate OS X wiki

Maybe someone out there can give me a hint.

I have a local wiki set up on a mac mini, with around 30 GB of data. I now need to migrate all that wiki site to another server. How can I do a massive migration, without having to redo everything from scratch (around 10,000 files).

I have no problem purging all the wiki data on the destination server, if that should be needed. In theory, we have specified the same users on both servers, although the destination server probably has new users not present on the source server.

Both machines are Mac mini, with 10.10.5 OS X Server, connected on the same network.