Many people asked this questions. I would start out by searching the internet. Go into the Yellow Pages.com com and type in Nursing Homes, your city and state. Look at all the listings and call the numbers. Enquire if they offer CNA training at their facility or do they know a facility that does. Good luck.
http://www.yellowpages.com/sp/yellowpages/ypresults.jsp;jsessionid=FLLCZ5RZMVASPQFI21FQ4CQ?t=0&v=3&s=2&q=nursing+homes&ci=Winnsboro&st=SC&cv1=y&_requestid=83721