Terminology and what do I need to control a 64 LED matrix

If, after your research, you decide to use MAX7219 chips as drivers, you can get them for far less than eight dollars each by searching eBay or buying from this company:

Same goes with TI TLC5940 chips which are good for matrix control with greyscale (PWM) ability too. But they are harder to use because they are only low-side drivers and you have to scan the top side yoruself. The MAX chip does both, just without PWM.