Thank you for your answer, Andrew!
I also found some helpful, step-by-step information in the following article:
VBA Express : Word - Add Keybinding to document to launch Macro
Anyhow, what I'm now using is the code below, and it works good! I inserted it in the 'ThisDocument' file, and it gets executed automatically when the document is opened (this was actually the main thing I was missing!).
Code:
Private Sub Document_Open()
With Application
.CustomizationContext = ThisDocument
.KeyBindings.Add KeyCode:=BuildKeyCode(wdKeyControl, wdKeyL), KeyCategory:=wdKeyCategoryCommand, Command:="MyScript1"
.KeyBindings.Add KeyCode:=BuildKeyCode(wdKeyAlt, wdKeyL), KeyCategory:=wdKeyCategoryCommand, Command:="MyScript2"
End With
End Sub
Alex