How to copy ChartObjects from one Worksheet to another?

What is the best way to copy embedded charts from one worksheet to another?

I see that a Worksheet contains a ChartObjects collection. I see that I can use the Duplicate method for each individual ChartObject, with a view to transferring the copy to the target Worksheet, but Duplicate returns an Object pointer, not a ChartObject pointer. How do I then manipulate the resultant ChartObject copy?

Where I think I am going to need to be careful in addition is that a number of properties (such as the data series, axis labels) point to a Range on the source Worksheet. I am assuming I will need to programmatically change them to point to the same regions on the target Worksheet. Or does the act of copying magically change them?