This will be more of a "what you need" rather than a "how to remove it" primer. I'm going to try to be as thorough as possible, but I reserve the right to leave out something critical. This advice will only be worth what you had to pay to get it and not a penny more.
You'll need to harvest the following parts from the '71 donor:
1. Support the rear of the engine and remove the bw transmission, torque converter and any associated accessories such as fluid cooling lines, shifter linkage, vacuum modulator, heat exchanger etc. Take reference pics of how these items are assembled before the first wrench turn. You'll most likely need to remove the trans x-member in order to clear the tranny. Once that's out, compare it carefully to the x-member in your '73. They might be the same, but if they're different, you'll need to swap it over too.
2. Remove the flexplate (ring gear) complete with case-hardened bolts and crank hub spacer.
3. Remove the complete steering column assembly. You need the column shift capability with the integrated neutral start switch, plus the actuator where the shift linkage attaches on the engine side of the firewall.
4. Remove the brake pedal assembly. This is optional. If you want the wide pedal pad associated with the auto trans, then you need to harvest it. Otherwise, you can just remove the clutch pedal from the '73 and survive with the narrow ass brake pedal.
5. Remove the floor mounted kickdown switch under the gas pedal. The borg warner drive to 2nd and 2nd to 1st downshifts are actuated via this electrical switch. You'll obviously need to fashion the same hole in the floor of your '73 to accommodate this doo-Dad.
6. Remove the trans tunnel cover. The one in your '73 is going to have a gaping hole where the floor shifter once was, but the cover form the '71 4x2 doesn't have a hole for the 4x4 shift lever. So, you can either fabricate a cover for the shifter hole on the '73 cover, or you can cut a hole in the '71 cover for the t-case lever. Your option. Personally, I'd rather measure twice and cut one new hole in the blank, than attempt some half-azz patch job, but you might be better with sheet metal than me.
7. Pull the radiator (optional). If it is in good condition and plumbed with the fittings for an internal fluid cooler, you May opt to swap it over. If not, you will need to source an external fluid cooler of adequate capacity. The ultimate option is to use an external cooler in conjunction with an internal one, especially if you plan on towing or hauling heavy cargo.
Now on to the '73:
1. Support the rear of the engine and remove the manual trans.
2. Remove the clutch pedal assembly, and narrow brake pedal also if swapping to the wide pedal.
3. Remove the flywheel, plus case-hardened bolts and crank hub spacer. Avoid mixing these items up with the corresponding donor parts. Now would be a good time to replace the rear main seal and rear freeze plugs.
4. Install the hub spacer, flexplate, and case bolts with thread sealer applied, to the rear of the engine and torque to spec.
5. Remove the steering column assy and replace with the donor assy.
6. Install the kickdown switch under the gas pedal.
7. If the torque converter was removed from the auto trans, ensure that it is re-installed all the way in so that the slots on the converter shaft are fully engaged with the drive tangs on the oil pump rotor. Improper alignment will result in damage to the pump rotor and unit failure.
8. Install the bw into the '73, supported by the appropriate x-member.
9. Connect the shifter linkage, vacuum lines fluid cooling lines etc etc in the same manner as they were on the '71, referring to your pics as needed.
Now comes the * and the ** portion of the show.
* is in regards to your steering column wiring. Because you're now dealing with a column-shifted auto, you are likely to encounter some differences in the associated circuitry housed within. You May have to improvise a little.
** deals with possible coupling issue(s) from the output of the bw to the input of your divorced t-case. There May be a difference in overall length of the units for one thing, and shaft to yolk agreement issues for another. Having never performed this exact swap myself, I cannot say for sure what you May be up against here. All I can do is make you aware of the possibility. Once again, this could well be an opportunity for improvisation, albeit in a safe and responsible manner. I hope this helps. Good luck on your exciting journey.