For Flash games to work on your website / webpage, you need to upload the SWF files to the hosting server. I can not remember all the files, but normally you will have an SWF,HTML code for Embedding and perhaps a CSS file. Been a long time since I uploaded any flash files to my old website.
There are Flash game sites that allow you to place their games on your site. I forget the name of the site. I do remember there was a Monkey in the logo
