Can I install Flash Player to my site?

I am trying to load media on my website after taking it over from the designer. I will admit I am a greenhorn and know little about computer stuff. I wanted to load a video but it tells me I need Flash Player? I am certain I have it on my computer, or at least very sure. My site is www.ecocleaninpa.com , is there a way to tell if my site already has flash player?? I have been working at this for hours but can't figure out what is wrong and why I can't download the video? Any help would be greatly appreciated.