bucksnort
If you have the proper tapered bullet, it should not need to be sized. Ideally, your tapered bullet should be .001" over groove diameter. As a new guy, pan lube bullets for best results.
Should your bullet be more than .002" over groove diameter they can be sized. Use a Lee push-through sizing die. You can order custom dies to exactly fit your rifle. Access their web site for ordering details. I have successfully sized several different tapered bullets with their push-through dies. The tapered bullet will self-center as it is pushed through the die. Be sure to lube bullets prior to sizing.
As to your 32-20 questions, I've never shot one so I have no real life experience to share.

When you speak with Paul or Gail at CPA, ask them about the new design, "swaged" and lubricated bullet which is designed specifically for breech seating in the .32-20CPA. Made by Dave Bennett whose contact info. you can get from CPA. Good Shooting.

once fire formed and maybe occasionally re-timmed for consistent length, most of the straight walled cases never need resizing IF used only on the same (properly head-spaced) rifle/chamber.   some folk will use the same half a dozen cases for years, some have used only one. so sizing dies are seldom used once the case is formed properly.
   BUT that is with relatively low pressure target loads.  Primer pocket erosion may eventually wear a case out and bottle neck cases may have a different dynamic.