you could pack them quite comfortably in a four horse stock trailer... Good all purpose tool too. i want one in the worst way.
they have partitions good for sheep... you want enough room for them to lay down so I am guessing a one horse stall... Then the ducks could go in the other one horse stall Easy to make horizontal partition for them... 50 per level...
Now you have a two horse partition for all the other crates. Feed and water the sheep from the front. You could also built a vertical partition to set bales of hay in. Dog can get out to go do his business but I would NOT allow the cat any free roaming or getting out... build him a cage that has his cat box and a cozy place to sleep. He would probably feel better in a darker place...safer.
Remember you are going to also have to pack enough food and water for ALL of them for the two or three day trip... Id pack an extra days worth just in case. All of them can go without food... for a day... but I wouldnt stretch the water out.
Cold weather is to your advantage... they will keep each other warm just by their own BTU out put. HOt weather I wouldnt recommend a move like this unless you had climate controlled trailer...
Bedding is important too. its going to get a little ripe in there....
So leave yourself an asile... STock trailers have ONE big door in the back that has a human door in side of it. Nice for critter containment. Also if you think its going to get too cold then you can line the trailer with plywood.
Horizontal partitions are easy to make couple of sheets of ply wood and two by fours wedged as support. the plywood can go uncut just lay it flat and over lap and get some screws in it to hold it in place.... Now you have some building materials when you get there. Another thing you can do for wood support is stack bales of hay and lay plywood on top.
Past poultry: Buff Brhama, EE, Barred rock, Wellsummer,
Bantam mixes, Araucana, Turkeys, & Guinea Fowl.
Future poultry: Guinea Fowl, Sumatra, Wellsummer, Muscovy
"A dream without a plan is just a wish" Katherine Paterson