4
bradburn, remember that all the data and settings for the site is kept in the database, not the static files.
It's the database that needs to be exported as well as the files, any moules and themes etc.
If you are on a shared network, then maybe this database is already accessible by your network IT, in which case all you need to export is the files.
There are some FAQs about 'how do I move my website'