Can I therefore simply copy the repository data folders from the file
server onto my own machine, and reconfigure Tortoise to use these?
Yes, you can copy the repositories to your home workstation and use the local file://
protocol to access the repositories. Make sure that no one commits to the repositories when the copy is in progress.
Will I also be able to do this with the AnkhSVN VS plugin?
AnkhSVN supports the file://
protocol.
I assume that your current server is quite old. Subversion is a project of the Apache Software Foundation (ASF) since February 2010. But you call Subversion "CSVN" which stands for CollabNet Subversion, so I guess that your server (or even a client maybe) has some pre-2010 version. The latest versions are 1.10 (long-term support, LTS) and 1.13 (regular, short-term support).
As a Windows user, you may want to try VisualSVN Server at home. VisualSVN Server is built with the latest SVN 1.10 LTS and installs in a few clicks, see the Getting Started guide. The server has a modern admin interface (MMC console) and a repository web UI (see a demo at https://demo-server.visualsvn.com/!/#asf/view/head/subversion/trunk). The server has all the must-have repository admin features such as backups, scheduled verification, GUI-based permission management, etc. packed in a user-friendly GUI, and a PowerShell module for admin tasks scripting and automation.
After you move your repositories, besides planning backups, it makes sense to perform some additional maintenance: