I agree with steelslayer.
I've done many 32 Long to 32 H&R, and 32 H&R to 327 FM. Simplest conversions to do.
You won't need the go-no-go gauge; just stop when the rim recess cutter on the reamer is flush with the cyl face.
Don't worry, it's a very easy job. You can rent the reamer on-line; just google. Or buy at:
Chamber Reamers, Headspace Gauges, and Firearm Accessories Since 1957 - Pacific Tool and Gauge
Makes a 327 reamer:
Chamber Reamers, Headspace Gauges, and Firearm Accessories Since 1957 - Pacific Tool and Gauge
$119
Request the pilot tip of the reamer to be your ~chamber throat size.
Clamp the cyl in a padded vise with the rear face pointing up. Apply cutting (or just plain gun) oil and the reamer will go all the way into the chambers as you twist it slowly by hand with slight removal of the bluing inside the chamber until the free spinning pilot bushing enters the chamber throat. The sharp reamer will be snug. The pilot in the throats of the chambers will align the reamer straight in the chamber.
When the reamer is inserted, the front end of the reamer cutting flutes will bottom on the existing H&R Mag case mouth shoulder in the chambers and the 327 reamer will stick out of the chamber when it bottoms on the case mouth 'shoulder' of the chamber, the amount you need to ream. You don't want to recess the chambers because, of course the headspace for the rim will be altered. So you just ream until the top of the reamer cutter is flush with the chamber mouth which extends the chamber shoulder ~ .140", only a bit more than 1/8", and you’re only shaving off .013” from each side of the chamber. This is literally the easiest reaming job that there is.
To ream apply constant medium pressure and turn the reamer clockwise until the shoulder is extended, and it only takes a couple minutes or so per hole. Do that six times and you’re done.
The secret is to turn the reamer very slowly and keep even pressure on the reamer while it's turning. Don't push too hard or it'll try to cut too big a chunk and you can get 'chatter'; you want to avoid 'chatter' to have a nice smooth cutting action. USE PLENTY of oil as you turn the reamer and remove the reamer occasionally to clean metal chips out of the cutting flutes with an old toothbrush.
Most small drill presses won't go slow enough and will create chatter. So if you have a drill press, you can chuck up the reamer in the drill press for alignment only, then use the chuck key to hand turn with one hand and hold pressure on the drill press feed handle with the other hand.
Or you can use a T handle like used for turning a threading tap. Don't use a crescent wrench or ratchet handle, it's possible to apply sideways pressure which will oblong the chamber holes.
Check each chamber when done to be sure a loaded round will go in all the way to the rim, clean chamber, and use touch up blue if you want, and that’s it. I prefer Brownell's Oxpho blue or Nu-Blue. Heat the cyl with a hairdryer for best results and use 3 or 4 coats.