Hard disk back-up when you can't load Windows XP

Hello;

I have an old DELL Dimension 8200 running Windows XP. When booting up, I am getting the following error message:

DELL's Disk Monitoring System has detected that drive 0 on the primary EIDE controller is operating outside of normal specifications. Back up your data and replace your hard disk.

Strike F1, and I have 5 choices, including Safe Mode and Run Normally, none of which will actually load Windows XP. I do get the Windows XP spashscreen but then it goes back to the above message.

How can I back up files on this harddisk before replacing it? I mainly would like my photos that are on the harddisk. Or, is there another way to load Windows XP and get my files?

Thank you, Richard