The last time I changed strings, I had a crochet hook. I found it useful in manipulating the strings in the tight confines of the pegbox.
If you would like to try it, I would suggest size 1.8 mm. And I would suggest avoiding the cheaper hooks, as the working end is sometimes ill-formed due to sloppy machining or casting. To get on or off this list see list information at http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html