Congratulations on the new additions!
You are going to need to bottle feed them for a few weeks at least. Eight weeks is the bare minimum age a goat kid should be weaned from the dam or a bottle.
What are they eating at their current farm? What grain, mineral, and what hay? Ask if you can purchase a bale of their hay when you pick them up, and a few pounds of the grain they're eating, and some of the mineral as well. Though a good breeder will send that along. I offer folks who purchase my kids grain and mineral for the road, and if they want it, hay as well. Moving to a new home is stressful enough, a sudden diet change is worse. You can slowly change to what you want to feed them, because likely your food choice will be what is available to you!
Yes, feeding a feed with ammonium chloride is fine, even for a doe! It won't hurt her, and it will help prevent urinary calcifications for him. Have you located a source of hay to feed them, since that is the backbone of a goat's diet? That is hugely important to have a source you can depend on.