That is not old.... it will run most 64 bit Linux distributions, download a few and try running them live, we can all recommend our favorite distro but it may not be your favorite, desktop appearance varies wildly, if you have no experiance of Linux i would suggest you start with Ubuntu with the mate desktop, Mint with the cinnamon desktop MX with its version of XFCE and Debian stable with the lxde desktop, those will give you a broad idea of look and feel and who knows you might like one straight awaySony vgn-CS19W
Your welcome but as others will tell you the final choice is kinda personal so try a few live if you can. Brickwizard gave you some good ones. Enjoy and let us know how you make out.Ok thanks