We need to know the operating systems that are running on each computer and the type of ports available.
You can transfer data using the parallel port, serial port, firewire port or USB port. USB and firewire require a special data transfer cable and would be the fastest method. The USB cable might the easiest to find over a firewire cable.
The parallel port data transfer cable might also be found as a laplink cable and the serial transfer cable is nothing more the a standard null modem cable.