I am distressed not to see a safety chain wrapped around your coil spring.
Well in the second photo I see that you have one off. You just need a pickle fork and a BFH to remove it the rest of the way now. They come in three different sizes for American made cars, I think your ball joints are either three quarters inch at the base of the taper or seven eighths; but the forks are cheap, and you will find a use for all three at some point in time.
I use mine with an air hammer as I am not as coordinated as I used to be, so my swinging a ten pound engineering hammer could result in either broken bones, or serious sheet metal damage.