Just went through this myself (to include the left diff seal leak after getting everything buttoned back up--so fun). I watched
@OTRAMM 's video in which he pretty much just pops the BJs off with a hammer. Tried that myself--no dice. At all. After lots of core work with a 5 lb sledge on one side and a 2 lb hammer on the other. Then I tried my little crab claw ball joint tool, which is super awesome for tie rod ends but not big enough for this job.
Then I bought this kit:
Amazon product ASIN B07F34PJFX
Which has enough different pullers in it that I was able to a) destroy one by first modifying it to fit over the LBJ and then stripping the threads on it--the slightly larger version of the crab claw puller and b) find some that worked on the top and bottom ball joint (different pullers) and get the doggone things apart.
Not the most amazing quality (ref a) above), but $50 for a pretty wide range of pullers was the sweet spot for me.