The large machine is much more convenient, especially with the integrated grinder because all you have to do is push a button, and the machine does the rest. But for flavor and strength control, the aeropress is much better. The coffee can be brewed at the right temperature (178-182 deg F), and this makes a lot of difference in the smoothness of the coffee.
The little guy is from the Azteca series and called Judas 666. There were some awesome ones in that series, but this one is the only one I got.