1965 coronet 440/ 4 speed swap

I was told a long time ago that later K's will fit these bodies? Don't know. I once owned a '64 Dodge (440 model) 426, but that was a LONG time ago I put a 440/ 4 speed in the thing, it came as push button auto. I don't remember any stumbling blocks, and this was WAY before Al Gore invented the internet.