Cubietruck is the normally-used name for Cubieboard3. It is well-supported by debian and the standard installer works fine. It is an Allwinner A20-based board and there are many of these. Detailed generic installation information is given on https://wiki.debian.org/InstallingDebianOn/Allwinner
This page gives board-specific instructions.
Other useful pages:
http://linux-sunxi.org/Cubietech_Cubietruck (hardware, upstream kernel development)
https://wiki.debian.org/InstallingDebianOn/Allwinner (debian generic installation info)
https://wiki.debian.org/CubieBoard (debian cubieboard series overview)
http://cubieboard.org/ (Official website)
Board Layout and connectors
Cubietruck takes 5V power via a DC barrel connector next to the ethernet port. This can be supplied from a USB port, but if you attach a hard drive a chunkier supply (up to 3A) is needed.
Connect a 3.3V-friendly USB/serial adaptor to 'UART0' header, near the USB sockets. This is not accessible if the board is in the metal case. Pins are marked:
That will appear as /dev/ttyUSB0 (or /dev/ttyUSB1 etc if you already have a 0).
Connect to it with <tt>screen /dev/ttyUSB0 115200</tt>
Lots of low-level info on UART connecting if you are new to this.
MicroSD card image