Buy this for $15:
http://www.amigaforever.com/ae/It will let you (using a null modem or "pc to pc" cable from office depot) drag the entire harddrive from the amiga to the pc as a single file... or all of the files/folders individually into a single folder on your windows desktop.
Another option for backing up the hard drive is to put it into a computer running some form of Unix (mac OSX, Linux, etc), and then issue this command:
dd if=/dev/DEVICE of=/dev/file
where DEVICE is the correct device of the hard drive... such as disk2 or /dev/hda2 , etc.
The first method will be the easiest and least time consuming.