What's the simplest way to amplify the signal of a piezo pickup for arduino?

What would be simplest circuit I could use to amplify the signal of a piezo electric pickup (buzzer) to be used with an Arduino analog input? At the moment, my piezo gives me readings from 0 to about 200 without the amplifier, but I'd like that to be between 0 and 1023 to get the full 10 bits.

You're looking for a non-inverting op amp. Google will provide plenty of examples of this pretty simple circuit.

http://www.dtic.upf.edu/~jlozano/interfaces/blow_sensor.html