You'll already have selected your graphics card so all that's left is to fit it into your PC. However, there are a couple of things you need to do to your current system first before you do anything to the PC's innards.
Firstly, visit the vendor responsible for your new graphics card's GPU (Graphic Processing Unit) and download the latest drivers for your card. Drivers are the software which interacts with your PC's operating system, and provides the operating system with instructions on how to use the card.
Once you have downloaded the new drivers for your new card, it's time to remove the old ones. This is very important as leaving the old drivers on your PC could cause conflicts with your new drivers and make your PC unstable. You should always uninstall old drivers before installing new ones, even if the drivers are from the same vendor. To uninstall your old drivers, browse to your Control Panel and look for Add/Remove programs. Once you have found it, look for reference in the program list for your current graphics card.
For ATI cards, it will say something like 'ATI Display Drivers', while for Nvidia cards, it will say something like 'Nvidia Drivers'. When you have found them, highlight the entry and click on the 'Change/Remove' tab to remove the software and once finished, close down the PC. The next step is where you need to get your hands dirty!