About the coils. If you use a 4/3 magnet coil arrangement with a sensible spacing between magnets, and this usually works with gaps about equal to magnet width near the centre ( with very long magnets you can squeeze them closer at the centre to keep a better overall spacing, the coils will have holes the size of the magnets and you wind the outside such that they just touch. If you leave a lot of unwound space at the outside you are not using the maximum sized wire for the number of turns.
There is an unsettled issue about the shape of the coils, with wedge magnets the shape will be triangular or trapezoidal with radial legs. With rectangular magnets some still make the coils this way as they are obsessed with maximum volts at all cost. When you take resistance into consideration it is much more likely that rectangular coils will be better in the end but if you have crammed the magnets tight on the inside then a slightly wedge shaped coil may be better.
With round magnets it is likely that round or oval coils will give a better overall power output than coils with straight radial sides. You will find arguments for both lines of thought here, you will have to decide for yourself, it will only be a second order effect.
Regarding coil thickness, you will get the best use of materials when the air gap is equal to or a bit less than thickness of 2 magnets. The coils need to be smaller to give you a working clearance. Again a fair variation is possible but don't go thicker and if you go too thin the mechanical spaces needed for clearance take up a large part of your available winding space.
Don,t put the magnets in pockets, there will be a reduction in useful flux. It is reasonable to machine a groove in the disc to give the magnets a lip to sit on on the outside edge to help counteract the centrifugal force but don't go too deep and you can make the groove wider than the magnets so there is clearance at the centre.
Hope that answers your question, I thought you were after details of turns, wire size and connection methods, which I can't give with the information available but when you get the book it will all be there.
Good luck. Flux