Advice on moving Cardinal Nest

Hi, I need some advice on possibly relocating a cardinal nest in our shed. Today we found a cardinal nest in our storage shed, and I need to know if it would be possible to move it without disturbing it our causing the babies to die. The eggs have already hatched, and I would leave it alone, however we had a robin build a nest in the same spot last year. When the robins went to leave the nest, the babies could not escape and unfortunately passed in the shed. I am hoping to avoid this with the cardinals. Is there anything I can do to help them? Can they be moved at this point? Any advice is much appreciated.