Which cities were used for the exterior scenes?

[Batwrangler]

i know the prison scene when joker is set free and catwoman picks him up in the catmobile ,,The wall it from Dannemora NY Prison,, parking meters are still their

[Batfanman]

And is Wayne Manor located in GC and if not, did they ever say where it is?

In the comics, it's outside the city limits (Gotham is on an island like Manhattan, and Wayne Manor is on the mainland). And on the TV show isn't it '14 miles to Gotham City' from Wayne Manor? Assuming the tunnel from the main Batcave to the exit is as short as it looks on TV. In 'real life' Wayne Manor was 380 South San Rafael Avenue in Pasadena CA.

I seem to recall reading that one of the episodes contradicts this somehow and places Wayne Manor inside Gotham City limits, but I don't remember the particulars. That will happen with many writers and no real 'bible'.

Yes, and the Batcave is located at 380a South San Rafael Avenue in Pasadena CA.