Almost a year ago, I moved 19 chickens and 11 ducks from Oregon to Kentucky. We went through two horrid snowstorms and a whiteout with no losses. We stopped every 4 hours to check on them, their food and water.
I used soda bottle waters for the chickens and gallon jugs cut down for the ducks and they had little doggie bistro style feeders filled.
This is how they were loaded with battery operated fans for some circulation. I took 2 small coops and made them double deckers and put 5 birds in 3 areas and 4 larger ones in the 4th area. Ducks were in XL dog crates, all in the back of a 26' u-haul truck. Make sure you have NPIP paperwork if you can get it from the hatchery or breeder you got the birds from and a vet certificate of health.
Food stored above one coop unopened and food for travel in 2 five gallon buckets. Straw was in two large lawn bags on top of the center crate ducks.
The ducks were in two crates, one on top to the left.
They did great. When we got snowed in, twice, we got a hotel room and I just unlocked the back of the u-haul and it came up about an inch and a half above floor level and they did great all night. They had plenty of straw added at night to snuggle into. Just be careful as it gets warmer because then overheating them could become a problem.
Good luck with your move.