1) Is there's anything I shouldn't bother with because it's not likely worn out and/or too difficult?
2) Any equipment I should have for the job? I'm assuming I'll need a hydraulic press and plan to get one, but any guidance on what I should get would be appreciated?
You will need an inch lb. torque wrench to properly measure the pinion bearing preload. A long bar for leverage to crush sleeve if using a new one.
You will need a dial indicator setup to measure ring gear backlash. Something to check tooth pattern with. I use white grease.
There are many online sites to help with inspection and gear tooth patterns.