You could also use an inexpensive NAS like the TonidoPlug, PogoPlug, or one of Synology’s lower-end units. In simple terms, an NAS is like your own personal file server for backing up data. You can even access its files remotely like you can with Carbonite.
Most NAS units have extra features that really come in handy, such as streaming music & videos to smartphones and DLNA-compliant A/V receivers, that make them well worth the investment.