My 2 cents worth...
Capacitors are easy and cheap to source through any number of online electronics dealers. I used Jameco Electronics for mine, but I have no particular preference. I paid $3.50 for each of my four 15000uF caps, but you could probably pay less if you don't need a specific size to fit them into a weird space.
The intimidating part is combing through whatever catalog you find and choosing from the mind-numbing selection. To narrow it down, look for Electrolytic Capacitors, rated for a minimum 25 Volts, DC, with the highest capacitance you can find in a "can"-style that will physically fit your requirements. Don't bother with caps rated above 50VDC unless you can score a killer deal on them. As for capacitance, I'd say 30000uF seems like a minimum, with anything towards 100000uF becoming unnecessary.
Car-audio "stiffening" caps are usually large and expensive, but if you could score a 0.5F "half-size" for cheap somehow, that would work well... 0.5F is 500000uF. Overkill, but they're usually built well enough. The 1.0F "full-size" audio caps are larger than a soda can and heavy; just as well use a battery at that point.
Multiple caps must be wired in parallel (all positive leads together, all negative leads together). If you use multiple caps, they should all be identical. Triple check the polarity! Mis-wired and/or over-charged capacitors can go boom,
no joke.
If/when soldering wire leads to caps, be fast and precise with an iron that's hot and controlled enough to get the solder on properly in under a second. Most small capacitors don't like to be point-heated. "Snap-in" and spade-terminal caps will give you a little more soldering latitude than plain wire-lead terminals. Screw-on terminals are best of you can find them.
Caps can hold a charge for a long time, and will discharge all of it at once in a split-second (
much faster than a battery). Never short a capacitor (connect the positive and negative), and if you're not sure if or how much a cap is charged, assume that it's full.
Okay, maybe that was 3 cents worth!