While the Move tool is active, UNcheck the "Auto Select Layer" box in the Options bar.
I’m actually looking for the "keyboard" shortcut.
There isn’t one and, because it’s not a Menu item, you can’t make an Action.
Do you mean the Command-Control combo to select the layer of the pixels the cursor is over?
Command+Control is what I use; never bothered with the auto-select option. No need for it!