You’ve got a hosting, neat… a shared one. Now it’d be cool if you could move your subversion repositories there also. But, you can’t just daemonize svnserve or enable webdav in Apache.
SSH is the solution for you. SVN+SSH to be precise. The setup and configuration is pretty straight-forward, but there are quite a few glitches along the way.
All you’ll need for this is SSH access to the server and basic experience with the shell.
Hope this guide will help you: Setup a SVN Server on a Shared Hosting – it took me some time to get over all problems, I hope it’ll save some time to you!