Well, I hope I'll be able to hear it without an amp, but I'll wait and see about that.
As for the DC, I think this might be mistaken, because as the string moves back and forth, the current reverses in the pickup coils at a frequency equal to the vibration of the string. This alternating current is then sent to the speaker cone, which is made to vibrate at this same frequency, thus reproducing the sound after some amplification.
As for getting a bass teacher -- you're right, I'll look into this.