Hello,
I built one of these capacitor reformers back in 2014. It was a very enjoyable project. Here is a photo of my completed unit in use.
I had programmed PICs previously, but like you hadn't previously constructed a transformer.
I bought the specified bobbin and ferrite pot core, along with the LCD display from Jaycar Electronics. [I used a QP-5518 display because the QP-5516 was not available at the time.]
I bought small reels of the 0.25mm dia and 0.8mm enamelled copper wire required for the transformer. Re-reading the EPE articles it says that 1m of 0.8mm wire and 10m of 0.25mm wire is needed. The chances are that there is enough left on my reels to wind another transformer. Let me know if you are interested.
It is a really nice unit, albeit somewhat costly for a capacitor reformer.
Regards,
Richard