The first opamp is just a "unity gain follower", so gain is 1, and you get maximum bandwidth from the first opamp (IC1A), hence lowest delay.
The second opamp is just an inverting opamp, and it suprises me that you have too much of output signal. When the potentiometer is zero ohms (that is the sliding contact is at position A), the gain would be zero. If you have problems with controlling the gain, reduce the value of the potentiometer (for example go from 1 MOhm to 10K). The gain of the second stage = -Rpotentiometer/R5. Increasing R5 may result in reduced bandwidth.
There is no low pass filtering (smoothing) in the signal path. C3 is just for smoothing the virtual ground to enable single supply (instead of pos. and neg. supply).
Depending on the disk, and how you mechanically excites it, the output voltage of the disk can be well above the supply voltage and you may overdrive the opamps resulting in increased delay due to saturation issues. The first opamp may also overdrive the second one, resulting in unpredictable results.
Try to know your input signal to make sure that this is the right circuit for your task. Input filtering and clipping may be required depending on your application.