The carrier is what the ring gear bolts to so that is what you are looking at it your pictures. You need to disassemble both front hubs all the way to where the spindle comes off. Then you can slide the axles out. Once the axles are out, take off the carrier bearing caps and use a small pry bar to pop the whole carrier out of the housing. From there you can clean and replace the axle seals. I would not remove the driveshaft or the pinion for any reason unless you are needing to replace pinion seal or bearing parts.
Clean off the parts and look for the stamps in the bearing caps and the housing. Make sure they don't get mixed up when going back together. You can see the letter A stamped into mine.
My build thread
1979 CJ7, FI 5.0L Ford, NP435, D300, Full floated D44 Detroit, D30 Detroit EZ Locker.