OK, I know that I posted an answer here, but it's gone.
I dont have Cat Bordhi's book, but I do knit socks on 2 circs. I believe moving the 9 distant stitches means that you should take the 9 stitches on the opposite end of the needle you are working, and move them to needle 2.
In Charlene Schurch's book, when you do the heel flap, you have the heel flap stitches on 1 needle and the instep stitches on needle 2 - after the heel turn is completed, you pick up the gusset stitches along the side of the heel flap, and then she has you move stitches around so that right half of the stitches (instep, gusset and heel turn) are on 1 needle and left half of the stitches are on needle 2.
When the gusset decreases are finished, you move stitches around again and go back to instep on needle 1 and sole stitches on needle 2.
Is that what Cat is telling you to do??
Hoping that I haven't confused you more!!