Tighten the LCA down with some wood to protect the finish of the arms in a nice, well anchored vice. Swing the BFH right on the center of the LBJ, spindle side (threaded end). It should not take more than a couple decently heavy swings to break them out. If you don't have access to a press to get them in, it's very similar for installation, you just need to find a socket big enough to fit the diameter and depth of the threaded end and another socket to keep from mashing the grease zerk end.
I was able to source a press for installation, just ensure you have everything lined up for the new BJ or this could happen to your new BJ!!
Another good option is to rent a ball joint tool (front end service tool) that comes with several different steel spacers and a big C-Clamp to help press them on. Should be available at most auto parts chains that allow you to rent tools.