Removing lower control arm ball joints:
Place the old castle nut upside down on the ball joint, and hit hard with a hammer. After successive knocks the ball joint backing plate will fall off and the ball joint will fall through.
Removing lower control arm bushings:
If after brute force applied there is still no movement of the inner sleeve in the bushing…
Use a blow torch on the rubber bushing, until nice and crispy. If there’s been enough burning of rubber the sleeve will easily tap out. The rubber may still be tricky to remove so it’ll help to use the sleeve just removed and a hammer to get the bushing out, hitting around the edges of the rubber, being sure not to gouge the surrounding metal.
The inner sleeves and bushings from each lower control arm:
And after all that, left with this: