XPS 8300 - Steps to install replacement boot hard drive

So my original Dell hard drive has to be replaced because it's been giving me errors and it's clearly failing. If I get a new hard drive, I know how to mount it in the case and attach the cables. Do I just turn the computer on with the System Recovery Disk that I previously created? Do I need the "Drivers and Utilties" disk that came with the computer? I've previously asked Dell for the Windows 7 disk but they never sent it (that was 4 years ago). I assume that the System Recovery Disk should be sufficient. Any support or suggestions would be appreciated before I take the plunge.