I do not use a puller and definitely not a pickle fork. I screwed up too many good links using those. What I do to get mine off is put the vehicle up on jack stands, remove tire & wheel, loosen the nut holding the link to the running gear/axle housing enough to give a gap of ~ 1/16"-1/8" from its full tightened position. Then using a one foot length of 1"-1-1/2" diameter aluminum bar stock and a 2-3# hammer, I give that nut a good wack to free the taper fit, then remove the nut and pull that end of the link out. Then I remove the shock with the arm and link as an assembly. Mount the arm in a vice close to the end with the link. Loosen that nut same as the other. Use the aluminum bar and hammer as before to wack that nut which loosens the taper fit. Remove the nut and link is off and undammaged.
I use the dog bone type links on my '35's, that are held together with two rivets. I repair these by removing rivets and putting new rubber balls in place, then put the bones back together with either rivets or nuts and bolts. This works well for me.