Ill have look through my notes. I have done this the Expensive rout and the practical rout, both work equally well IMHO. If you can tolerate a short OAL by .030" or so the 221 fireball parent brass is the least time-consuming process. In terms of practicality Many claim the 221 Fireball brass origin which ends up a little short works equally well.
If you are dead set on making your brass .030" longer to achive full length brass then 223 parent brass is the way to go. Did I say time consuming. Tools I recommend for practical process are as follows.
221 fireball full length die set. RCBS or Redding recomended. Hornady will not work for the purpose intended here as the process utilizes the traditional bullet seater die for initial neck down step. The Hornady bullet seater with the guide sleeve does not lend itself to this process.
17 fireball full length die set. RCBS or Redding recomended for same reasons listed above.
Hack saw or if this is a high volume operation you may find a mini chop saw w fixture targeted to the 300 blackout crowd on E-bay.
Propane torch for annealing.
Neck turning tool with 17 & 22 cal mandrills
Imperial sizing wax
Flitz polishing compound recommended, not exactly required. Use the Flitz to polish the inside of your full length dies with a cordless drill and a appropriate sized bore brush.
standard ID ? OD deburring tools.
(Time) quite a lot of it / Good winter project if you are the type.
Did I mention this requires less than half the time if you start off with 221 FB brass?
Diffrent folks approach this task differently, most probably just walk away.
The guys over on Saubier.com got me going along with Varmint Al.s web page
http://www.saubier.com/forum.html search - forming 17 fireball from 223?
http://varmintal.com/arelo.htm#Polish