No, an HDD is pretty much an HDD - you don't need to worry about bus speeds etc.
But the HDD from your old drive should have some switches / jumpers that can be used to select between Master and Slave. Chances are it's set to Master (or maybe Auto?) ... change it to Slave.
If you're lucky, your new PC will have an HDD ribbon cable with two connectors - one half way down and the other at the end.
If one of these connectors is doing nothing, then plug the HDD in there, and connect up a spare power connector too.
It's possible both connectors are used, but that one is going to a CDROM drive? If so then disconnect that and plug it into the HDD (and put it back on the CDROM drive afterwards).
RC