Hi Jerry, welcome to the forum.
Yes, there are a lot of free website builders out there but most of them goes out of business within a year after their launch.
A couple of the reputable website builders that offer a free plan are Weebly and Web. They come with a simple drag-and-drop design interface, which is great for beginners like yourself.
I wrote an article describing their pros and cons over here: http://www.sproutgeek.com/how-to-cho...osting-package
Check it out and let me know what you think.
Personally, I do not recommend Wix because it builds websites using Flash, which is slow and difficult for search engine robots to crawl your content.