If you feel ok with poppin off your case, try removing your old HD (from dino) put it in the E-machine. Then you can access all your files when ever you want and have more space on the newer comp.
To do this just move the jumper(tiny plastic bit on the HD that acts like a switch) on your HD to the master with slave setting (most HDs have a little picture on them explaining this) on the E-machine.
Remove the old HD and make sure its set to Slave.
Pop dino's HD into the E-machine, plug in the power and IDE cable (dont force em they should be really easy to put in).
Boot and pray.
I have an old IBM Aptiva that is quite a dinosaur! I just bought an E-Machine with Windows XP home edition, and want to connect my old computer to the new one to access files and programs. The old computer has Windows 98. Any suggestions out there???