I don't know how to do this under Linux, but in Windows it would be as follows.
If you have the utilities CD that came with the new drive, you can use that to
clone the small drive to the big drive and use the big drive as your master.
Set both drive jumpers to cable select (CS). Install the new drive as the
slave, preferably on a different cable from the old drive, like with the CD/DVD
drive. Put the CD in the CD drive and boot the machine. Follow the directions
and the CD will lead you through the process. Take your time, be careful, and
follow the directions.