cheapest would be to remove the harddirve from the old computer and plug it into your new one on the 2nd plug (channel) of your IDE connecting your current computer's hard drive, be sure however to put the pin on your win98 hard drive into slave or cable select so that it will be detected as a storage drive, copy your files, then replace the hard drive into the old computer.. or not.
If you are uncomfortable with the hardware idea, and the computers can be placed reasonably close together, you can purchase a USB network cable, which will come with software to link the two computers via USB as the name suggests. This costs $15-$25
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