Is there a free website that I can go to to design a custom site on my own? Mostly HTML not as much flash.?

http://www.dougv.com/blog/2007/03/12/good-free-web-hosting-companies/

If you currently are a web subscriber, your current provider offers a homepage into which you can FTP your current webpage(s) [which can be authored/designed using Composer [an authoring tool which is free when using Netscape browser], NotePad, MSN Word, FrontPage, DreamWeaver, etc.] and use the homepage hosting services. In a sense, you are hosting a commercial webpage via the homepage link and incurring merely the monthly access of, say, AOL.com, etc. Nevertheless, should you want to link your current domain name to the homepage URL, you’ll need to use a third-party redirection service, i.e., mydomain.com [which is free] or simply direct your domain name registry, i.e., godaddy.com to forward your domain name [with masking] to the link it to your homepage URL. It’s that simple.

Here’s a classic example of a commercial website built on a homepage website. Check out the following seach query at google.com using keywords such as "sandwiches downtown los angeles" [while leaving out the quotes (")] – - the PR5 entry is "nazos.net" which is a homepage with redirection coverage to mask the homepage with the domain name of "nazos.net."

Good luck!