MOVING.. How should I transport the Nandays & their eggs?

I have a few questions........ Shouldn't one of my 4 bird's eggs be hatching any day now i noticed the first one Last MAY... Also, I'm moving to an apartment due to my mothers health its kind of a LAST MIN. Move... decision made 1 week ago.. I'm moving in 4-5 days. Sooo ummm how should I move the Nandays and their nest? My fiance wanted to put them in the back of the uhaul in their huge cage with their nesting box attached.... I told him hell no he is insane.. but would that work? I said not enough oxygen.... The ride to the new apartment is just 30mins... but still..... Should I just trap them in the nesting box... and take the nesting box off the cage and put them in the car with me?
Also.. I'm concerned about the male... He has not came out the nesting box in days!!!! At least not that i've seen..... I think he is too scared someone is going to mess with his eggs.... What should i do? I only see the female come out and eat.... I put a pellet or 2 in the nesting box.. i'm not sure that he ate it or not though. What should i do about him not eating or drinking bc he is always in the nest....