First thing you want to do is back up your game saves in case of issues. Mods will get broken when the game is patched.

Some client side mods can be different but anything handled by the server will need to be installed by everyone on the server. Also I don't think the server will deploy the mods, people need to get their own.
You can make a guide with the mod list and where to get it and share it with people you let in.

Other than that, by compatibility do you mean crossplay stuff?