This is for a heater box, not heater with A/C. They are both similar, but the A/C system adds a lot of fittings and piping that needs to be dealt with.
Around the outside of the heater box in the engine compartment are 5 nuts on studs. one is way in back on the heater motor scroll that you can only feel, at the far outside edge of the housing at 9 o'clock. I believe they are all 7/16" size. Usually, a nut driver is better than a deep well socket. Take these nuts and washers off, and remove the heater hoses. You might have to cut across the ends where the hose clamps are if they are stuck. Yanking on the hoses will only bend or break the tubing connections.
Disconnect the heater power lead, and you should be ready to go. The box may be stuck to the firewall, as they used "Permagum" rope sealant to seal the box watertight. A putty knife should be all you need to loosen the outer (engine compartment) half.
The inner half with the heater core is not as simple. Remove the right 1/3 of the dash (passenger side, and the center gauge cluster, including the radio. CAREFULLY pull the interior heater half into the passenger compartment. After you swing the box into the compartment, you can see the vacuul hoses on the damper actuators. Code these with tape, and remove. Then, the heater core and inner box half.
A couple of points- You cannot remove the heater core from the engine compartment even though you would swear you can. It HAS to come out from the inside, due to sheet metal baffles that re-direct the air around the heater core. While the box is out, check the foam seals on the diverting damper, seals around the core and the gasketing. They're probably shot. I believe some place on Long Island has repair kits for $25 or so.
My engine side box half was cracked due to some meathead trying (and failing) to remove the heater core without loosening up the inner half. He also broke off two studs that I replaced with bolts. The repairs with fiberglass was very easy. After painting, can't tell what was done.
Good luck.