What is the difference between IDE and SATA type DVD writers? My motherboard supports both. Which one do you recommend?
As Rodeey said, there isn't much a difference feature-wise.
The advantage of SATA is the thinner cable, so it is easier to route the cable in a cramped case. The cable can also be longer than IDE cables, so you can move the DVD drive to the upper drive bay of a big tower case.
Take a look at this page to see features of SATA, IDE/PATA and SCSI technologies. There is also a thorough comparison.
Short of the bus type (IDE vs SATA), there isn't much a difference to you. As long as your burning software supports SATA drives then that's what you should get.