To get you started-
The "common" in common base, emitter, etc, refers to which pin of the transistor is "common" to both the input and output.
Quite often the "common" pin will be connected to ground, usually through a resistor.
Common base seems fairly rare except in RF stuff and some specialized audio stuff.
Basically, just look at the inputs and outputs of the transistor. Wikipedia actually has good articles on the different transistor configuration