Move CAD/Program

Move CAD/Program

What's the best way to move the CAD and related features/measurements, after the program is written? My current issue is, I recently noticed my CMM table location was set too low. After updating the table location, some of my cad models are "buried" in the table model. I can move the CAD, but the features/measurements don't move with it. What's the best practice for this?