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WildAngel, have a look at the file size (right click the file and select Properties). Normally, AVIs are rather huge.
I wouldn't spend too many bytes on some background image. Normally, it's more important to have a fast loading page.
Maybe you can just grab one frame (e.g., by pressing Alt+Print) and paste it in an imaging programm and save it as JPG and use this as your background.
It's more important to have good information about your company. If you want to use the AVI, you could add a link on your about page (state the file size and format). See if anyone cares.
I'm going to move this post over to the Graphics forum -- maybe we can get more input from the people who focus on these things.
animation Shop (which comes with Paint Shop Pro) opens gifs as well as AVIs (frame by frame), and can export it to a tightly compacted gif.