Some do have an IDE, some don't - the IDE function was left out of Intel chipsets from the ICH8 (southbridge / I/O part), so unless recent Intel chipset boards have an additional controller for IDE, they won't support it.
Simplest answer, I'd put the drive into a USB external case (you can get them in SATA or IDE), avoids any problems with opening up the new machine - then you can use the drive for external storage, if it's a decent capacity.
There are also adapters that go from SATA to IDE or IDE to SATA, just make sure the description covers the right direction.
PS. IDE is also known as "ATA" (AT Attachment) or "PATA" (Parallel ATA) to distinguish it from Serial ATA.
Suggestion:
http://www.bestbuys.com/p27833887-Sabrent-3.5-USB-2.0-Aluminum-Hard-Drive-External-Enclosure-Case-Black-ECS-U35K--offers.html
IDE to USB case.
The other alternative, as suggested, is to network the two machines and transfer that way, or possibly to use another external drive to dump things onto and then transfer them, then use for backup.