Youse needs a "bushing pushing" kit. I have never seen one advertised, but that's probably because they are so easy to make. I'll go find mine, and give you a better description if you want, but the idea is to apply pressure to the bushing with a machine screw and a cylinder that is a loose fit in the steel part welded to the airframe. You also need a receptacle, which can be little more than a hunk of 4130 tubing with ID just slightly larger than the bushing to be pushed. Inserting the new one is done with the same idea, except all you need really is the machine screw, and a few A-N washers.
Pounding on airplane parts is something I try not to do - even pounding with the palm of your hand can damage some stuff, like the ribs in the horizontal stabilizer. And this trick works every single time, without fail. I believe we used A-N 4 machine screws and lots of washers, but I bet coarse threaded rod would do just fine. I guess you have to pound out the pins themselves, but if you put some SAE 30 on them once a month, even they slip out with a gentle tap.