the OP said:I will be putting in what I have learned are called "bypass capacitors". One for each opamp. If memory serves me correctly (my head is swimming in lots of new tidbits of information), they will be on the inputs to ground and each about 0.01mfd. I'm still not sure how/what they do exactly but I understand it is specifically to prevent oscillation.
Bypass caps are caps that are placed on the power supply rails to ground close to the IC.
Bypassing is an art and sometimes multiple types of capacitors are used in parallel. The first choice is usually ceramic.
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At a minimum, I would suggest an 18 V TVS diode (Unidirectional (reverse biased) or Bidirectional) and a 400 PRV 1n540x series diode reversed biased across the power in 12 VDC.