Of course you don't want to use the pickle fork if you are going to be reusing the ball joint. You "can" but I don't want to. There may be a small puller that would get in there, I am not sure. But on that note, why not just replace the ball joints while you are at it?
The lower ball joint, that is the one that will wear the most it is on the control arm that the spring rides on, so suspension 101 says it is the one that wears the fastest.
But honestly, pull the upper control arm off, do the bushings and ball joint and replace that lower ball joint and bushings on the lower control arm and you have darn near the whole front rebuilt!
The rest like the tie rods and such can be done a little at a time down the road and wham, you have a whole rebuilt front end. It is almost THIRTY FIVE years old after all!