correct transmission for 6.0

[informi]

I have a 6.0 out of a 02 Yukon Denali. It is going in my 62 c10. I had originally planned to use a Turbo 350 I have, but am now thinking I would like an electronic 4 speed. So I figured the simplest route is to use the same transmission that came with the Yukon originally.

So here are my questions:

1) What model did it come with originally? I was thinking it was a 4l60e, but then I see mention of a 4l70e (or other variants) etc, so not sure exactly which one I need to get to minimize hassle. I would ideally like to use the existing harness/connections as is (if possible).

2)If the transmission I end up with is not the same as the one that came with my 6.0, can my PCM be flashed to work with a different model (ie a 4l80 for instance)?

Been a long time lurker and been able to get all kinds of great info and help. Thanks for any help/input you have.