In Burgundy, France, what is the name of the places you stay. Is it called a ghick.
Do you mean a Gîte?
What Nigel said, pronounced with the soft J sound like Sheet with a z at the front "Zheet".
Hi Kent, 
FYI, on this website's "Graffitti Wall" under the "Sleeping" category, there are  suggestions and recommedations for Gites in France.  I find that the "sleeping section" of this forum is very helpful when looking at accomodation options.  Hope that this helps you.  Sherry