I have 2 pilot bushing pullers, all of the tool trucks sell them,,,I use a Snap On, and also a Mac. You pick the correct pair of jaws, to fit the ID radius, tighten the center screw,,,,then tighten a large nut, that straddles a U shaped brace, tighten the nut, and pull it out smooth
These are a big help when changing a clutch in the car too.
To re install, I have turned bar stock drivers, to keep it square. I don't like to pound on the hard on the back of the crank, to chisel a bearing out,,it can hurt the thrust bearing, so on install, it is nice, to spread the force, and load, on a nice driver, or, turned piece of stock,
Keep it nice and square too,,,I have seen a few guys bugger things up, by tapping the new one in crooked.
It is also nice, to check for burrs, dings, dents,,,when the bearing is out, and dress or emory away any flaws,
Be easy on the re install. I use 2,3 sometimes 4, guide pins, screwed into the scatter shield, or bell housing, to align the trans, and a trans jack,,and I have the best luck, aligning the clutch disc, as you tighten the pressure plate, using an actual toploader input shaft. One tip there is,,,just before you snug the hat,,push the input shaft up until it stops, then down until it stops, and eye ball that tolerance. Then lift the input shaft, half that dimension, and it should be dead center. Then tighten and torque the hat in steps.
The trans will just slide straight in with no problems
I say this, because guys who force a trans in, or make the mistake, of starting the bolts, to tighten the trans into place, can cock it, break the pilot bearing, or an ear on a trans. Seen it more than a few times.
One last nice thing to do is this. Bolt the bellhousing on first, mount an indicator on the flywheel, and check how centered the register for the trans is. The big hole, that the transmissions front bearing retainer fits to. Line boring a block, or other tolerance issues, can change this from dead center. If you check it, great, if that is off, I have seen over 030....you end up making the front bearing wear fast, the trans can get noisy,you can wear any pilot busing out fast, the clutch can chatter, and it can pop out of gear. So check it if you can, and if you need to fix that, there are methods we can share.
Sounds fun,,,nice job