I bought this camera in 1983 and used it for about 20 years, still have it and it still takes great pictures.
Actually there was an AE-1 and an AE-1 program version. The AE-1 program (which you have also) was the better of the two and was one of the first "fully automatic" SLR cameras at the time. It was a machine and hardly ever needed service other than the common shutter squeak that was an easy fix.
Here is mine with a 70-200mm zoom lens........
Have a look at this......
Nikkor 70-300mm vr, Nikkor 18-105mm vr
Canon "AE-1 Program" film SLR camera user since 1983
C&C always welcome