This tool quickly separates a shape from its connectors allowing it to be moved without dragging the connectors to a new location. You can then substitute a new shape in its place.
Using The Tool
In this simple example, Process 4 needs to be moved so that Process 5 can occupy the same place in the flow.
If you move Process 4, the connectors get dragged too.
You could select the connectors and delete them and then reconnect to Process 5 once it is in place.
Instead, use Break Links
To Use the tool, select the Process 4 and then press the shortcut key to load the Smart Tool Menu (ctl+q)
Then select Break Links from the menu.
Process 4 can be moved but the connectors stay in place
If the replacement shape is the same size, it will automatically connect to the connectors left behind.
The tool allows more than one shape to be selected at a time, but I have yet to find a need for this kind of bulk use. It might come in handy one day.
Inspiration
I use the menu concept as a holder for tools I need from time to time. I will release the other items on the menu shortly.
Downloading the Tool
The tool can be downloaded from the Visio Downloads tab