Step 4: Wind the Primary Coil
At this stage, you can use DeepFriedNeon's LC frequency and secondary coil calculators in order to find a combination that suits your components or you can use ScanTesla in order to "scan" for the configuration that will maximize the coil's perormance, however, I will not cover these approaches here. I think that I have found a primary/secondary combination that works reasonably well and if this is your first coil, I would advise you to follow what I did before you experiment on your own.
For my primary coil, I used a flat spiral made of 9 turns of thick stranded wire with 0.25" spacing tapped every quarter turn for tuning. If you can afford to use a flexible copper tube, then I recommend you do so because it is easier to tune and work with than insulated wire.
I used 4 supports made of 1" by 6" PVC pipe bolted down to the wooden base. Here is how I marked and drilled them to support the primary coil: http://www.loneoceans.com/labs/teslacoil2/sep9_pridesign.gif (with 5 tubes instead of 7 and 0.25" spacing instead of 0.5")
While you should wind the primary coil as neatly as you can, my coil worked fine even though the stranded wire didn't form a perfect spiral. See picture 5 for a diagram: