How can you hide your devices "digital fingerprint"?

I am trying to access certain sites. Proxies do not work anymore. I have heard of a device having a "digital fingerprint" and websites blocking/banning that particular device. Is there a way around this?

Setup up a virtual box on your computer. This will make it look like another.

For example you might be running firefox 18.0.2 on your current computer, but on the virtual box you could use firefox 16, also changing the display screen resolution and anything else that that you used on your original setup.

Im not 100% sure how to do this, but I believe its what you should start looking into. Hopefully some other can chime in...

Edit: I know of sites like:
https://panopticlick.eff.org/

can see how unique your browser is, but im not sure if its your computer or browser thats giving you away. My browser setup is unique out of the 2,716,608 (21.4 bit of identifying information) tests completed, so tracking my setup would be pretty easy if the website WAS going from the browser setup and not the computer setup.