I order to do this yourself, you should buy electrical diagrams of 1) your car and 2) the radio.
You can remove the radio by pulling the knobs off the shaft and unscrewing the shaft nuts that holds the radio in. There will be one bracket in the back that is screwed into the radio to support the rear. Install the Philco in reverse order.
You should have an Antenna connection and four wires:
If you have a Fadder control, you will have two more wires for Speaker Left and Speaker right for the rear speakers.
The power plug (+12V and Gnd) should fit the car. When you install your new stereo speakers take one side of each speaker and wire to chassis ground. The other side of each speaker wire individually to the Speaker Left and to the Speaker Right wires on the radio. Hook up the antenna.
Hook up the rear speaker wires later when you install the speakers since your car doesn't have them (AM only).