I found the pins, bushings, etc... The problem is that I have no idea how to replace the old one without taking the door off. Is there any way to avoid this? Any help is greatly appreciated. Thanks

I used a hammer and a large screw driver to bang out the pins that the bushings are mounted on, but that was on a 85 pontiac parisienne. I'm not sure about the older cougar though.

If you do one hinge at a time and support the door it can be done.. Although I think it's maybe a tad easier to just take the door off...