Don't worry to much about the inductance of the capacitor and all that stuff; just remember to use a high value (100uF - 470uF) electrolytic capacitor where you bring power to your board, and use ceramic capacitors (~ 100nF) at the power pins of each IC you are using. If you have an op-amp or another IC that uses three power points (+V, GND, -V); some poeple will place one cap between the +V and ground and another from Gnd to -V; others will just place one larger capacitor between +V and -V. Experiment if you need to
If you have polyester, polystyrene, polypropylene, or teflon film capacitors, save them for passing AC signals through, since electrolytics will badly distort your high frequency waveforms or attenuate them altogether.