Hi there, i would take of the wheels on both sides off first then inspect the bushings to see if they are actually bad or another part of the suspension is gone bad or heading there.
Mine had the driver side bushing gone almost completely and the passenger side was headed there. So i just replaced the whole control arm for both sides as it was cheaper. New LCA was like $100 for both sides while if i got new bushings and balljoints it would well over $200 and then all the labour to remove amd install the bushings. My driver side bushing inner metal piece had separated from the rubber part giving me whole of grief removing it.
I will upload pictures this weekend for you to see.
If you still want to remove bushings, you have got few options already lying in your garage. Hydraulic jack, you car jack, and bottle jack to name a few. All you need to make press type setup and let jacks do work for you. You can use a socket on one side the size of the bushings, slightly smaller than the LCA hole and a piece of wood with hole larger than the bushing but just about the size of the LCA hole. Use a whole of WD40, liquid wrench or whatever penetrant you like.
Hope this helps.