I used to load for 32-20. The parent case is an old black powder offering, and sort of like 44-40 or 38-40, very thin to assure proper obturation upon firing, at lower, black powder, pressures. This also makes it a little "fragile" to reload, in that if one doesn't go slowly and cautiously, one can carelessly crush a case rather easily.
I would suggest either Lyman or RCBS dies due to the proper expander die included with them. As others have said, this is a semi bottleneck case and one will have to lube cases as he FL resizes them. Another option is to get a custom die from C&H Tool and Die which will resize your cases only enough for reliability in your chamber, and size the neck down only as much as needed.
If you intend to shoot any cast bullets in your rifle, I would suggest the RCBS "Cowboy" die set if they offer it, as it tends to have an expander plug better suited for that task. Buffalo Arms offers "custom" expanders for RCBS dies so that you can get the proper neck diameter for whichever projectiles you use.
Another feature of this cartridge is that if you repeatedly full length resize, you will run into case separations and unusual stretching. At least that was my experience. I found that if I set my die so that it sized maybe ⅔ of the case neck nearest the case mouth only, not touching the "shoulder" I could get the brass to last indefinitely at the pressures it was designed for. You CAN hot rod this little cartridge assuming the action of your rifle is up to it, and I used to do that for a TC Contender I once had chambered in that number. Again, if you can, try to only neck size your cases. Feed them into your dies slowly to make sure they are centering up, as I cannot over emphasize their fragility, and you will be rewarded with collapsed cases if you are not diligent in this regard. A case expanded even .003" under bullet diameter has a pretty good chance of crushing as you seat the bullet.
If you roll crimp, be sure your cases are trimmed to a uniform length before attempting it, or if they make one, one of the collet type Lee factory crimp dies might be a good investment. I would think that if you are going to magazine feed your cartridges you should choose a good firm crimp.
Congratulations. I think you will really enjoy your rifle.
ETA: I never tried a powder thru expander die such as Dillon licenses from Lee Precision with this cartridge. I have used both Dillon and Lee powder dies and powder measures in other applications. If it were me, I would find another way to charge my cases, as I would be concerned that with the resistance of the mechanism of the powder charging setup on the upstroke of your press, you might damage or way over-flare your case mouths. I guess the only way to be sure is to try it and see what you get.
