First let's solder most of the electronic circuit together.The easiest way is to start with the two capacitors.Solder both negative leads together.Then take the diode and solder the positive lead to the positive lead of the 3300 uF capacitor.The negative lead (where the stripe is)goes to the positive lead of the 1000 uF capacitor.
Take the 2n3904 and 2n3906 transistor (hold the flat side towards you).Solder the right lead of the 3904 to the middle lead of the 3906.
Get the two 100 K resistors and solder them together.Solder the right lead of the 3906 transistor to one end of the resistors.
Solder the middle lead of the 3904 transistor to the the middle of the two resistors.
Now lets join the two parts of the circuit together.The left lead of the 3906 transistor goes the positive side of the diode.The left lead of the 3904 transistor goes to the negative lead of one of the capacitors.
At this time I usually put the electronic circuit to the side and start working on the base(it is easier to solder the LED,coil and solar cell on later when you decide where to place them on the stand)
Many thanks to Solarbotics(http://www.solarbotics.com
)for letting me use the image of the circuit.