Apple isn't using the phrase "home server," but the first announcement from Steve Jobs at Macworld Expo is a new device called "Time Capsule," which he said will work with the Time Machine feature in the new Mac OS X Leopard to help people back up their personal media and data over their home networks.
Basically an Airport Extreme NAS, the Time Capsule router allows those running Leopard while connected over WiFi to run Time Machine. Currently, unless you use a back-end hack to enable WiFi backups, you have to plug and unplug your laptop to an external drive to run Time Machine backups. Time Capsule removes that requirement, thus making WiFi Time Machine backups simple.