Move a whole Vector3 list of lists to another world position

Hi everyone, with my editor I build an environment with a background image and related sprites (I work in 2.5D). I also draw on a Plane some shapes with Gizmos and I save vertices in a list of Vector3.
For somewhat lengthy reasons to explain I work with the background image placed at 0, 0, 0.
Once the work is complete I need to move the whole environment to another world position and I get it by making all the gameobject children of the background image.
Now I'm wondering if there is a function in C # that allows to update each Vector3 contained in the list with respect to the new position taken by the background image or if I have to modify them one by one iterating over the list.
Any suggestions would be welcome.

 

Not only does it help but it solves perfectly. Thanks.