That drawing is older than I am!
Cool.
So, what exactly do I need to buy to make all of this work?
you could hit your local radioshack only because it doesn't make any sense for such a small order from Mouser, Digikey, etc.
Radioshack will have all the necessary parts but you won't find any good op amps. Let me see what I can do to find a nice single op amp package to sample. (I love samples!) The Shack will have op amps that will work, but there is no reason not to get something really nice.
Oh, get an 8 pin DIP or IC socket, that way you can change out op amps easily.
C1, C2, C3, & C5 - look for electrolytic caps. for simplicity sake get the same values - something like 47uF to 100uF rated to at least 10V. If there is a possibility that you would ever run at higher voltages, like 18V, get 25V caps. Keep in mind, these caps get bigger as the value and voltage ratings increase.
C3 & C5 filter power supply. Since we are on the subject it might also be a good idea to put a small value resistor (say 4.7 ohms) right at the power input.
C1 & C2 block DC from going out - they also influence low frequency response. The lower the value the more low frequencies you loose.
R1 & R2 set up the bias voltage so that your signal sits halfway between 9V and GND. Make those about 100k.
R3 gets that bias voltage to the op amp and sets the input impedance. Make that something like 1Meg.
C4 should be a 0.1uF ceramic cap. Placement for this cap is critical. Literally solder one pin to +V (pin 7 on the op amp in the schematic) and the other pin to -V (pin 4 on the op amp in the schematic).
The pot - not critical. Most any volume pot should work. If it were me I would prefer one with PC pins so that it can it can be soldered to the board. That way you don't have to worry about where the board gets mounted in the cavity.
I think that about covers everything. The input signal comes from the Balance pot or the switching you want to do. If you go with a pot keep it a high value. Ideally you would put this buffer in-between the pickup an the balance pot but it's not completely necessary. Not to mention - more op amps, less battery time.