One of my Clarion collegues, Brahn Partridge, pointed out to me this morning that VisualSVN Server is supposed to be used instead of the SVN Server, which was probably why it was not working for me at all. For now, however, I am going to use the SVN Server and get things working with it.
So if you are planning to set up a server on a network, rather than just use a local filesystem if you are working on a single computer, then you should pick either SVN Server or VisualSVN Server. With the SVN Server you connect to the repository with svn:// but with the VisualSVN Server you connect to the repository with either http:// or https:// depending on how you set it up.
One of the issues I have with TortoiseSVN is that it does not give you a list of the available repositories. So you have to remember what they are called (i.e. the folders in the repository root folder) in order to connect to them. Bit of a pain, but should get easier as I (hopfully) learn the names I used;)
Arnor Baldvinsson