Iāve moved twice in the last year and a half, so hopefully I can provide some useful info!
For this one, I think itās going to be very dependent on where/how the animals will be set up at the new place. Do you have a room for them, thatās their sole room, or do their enclosures get set up on top of other furniture that youāll need to move first? (Like a bedroom dresser, entertainment center, etc.)
For me, I have a reptile room, so I got the room set up temp wise and moved the animals last, since I knew exactly where they were going and how I wanted it laid out.
This oneās going to depend on a few things. How far away? What time of year? How big of a collection? Moving things like fish, Iād do what @indiflare indicated and bag them (ask your local fish store, theyāll usually give you bags for free) and then prop them up in a cooler or something like a 5g bucket to keep them from sloshing around too much.
Other animals depend on I suppose how many you have and what supplies you have or want to buy. Have cloth bags for shipping snakes? Put them in their bags and put them all in one sterilite container/box of some sort with air holes. Keep them inside your vehicle where youāll be having some form of climate control running (heat or ac, just make sure they arenāt directly over/in front of the vents) and theyāll be fine. If itās a multiple day trip, or youāll be stopping overnight, youāll want to make sure you take them out of the car and into whatever place youāre staying. Even keeping most snakes/reptiles a little cool is fine for a couple days until you get things settled where youāre going.
If a snake, donāt feed them for at least a week prior to move (for me, ball pythons. Other species may vary, you just donāt want to risk them having a recent meal and a regurgitation due to stress). Otherwise, care stays the same before and after. Expect the possibility some may not eat right away when first offered after the move, the same way you might if you got a new animal shipped to you. Expect them to need to settle again and deal with the stress of the travel.
This one can get tricky, especially with things like fish tanks if you have a lot of heavy substrate in them. In an ideal world for a fish tank you donāt want to transport it (if a larger tank) with the substrate in it. This can sometimes be extreme weight that could cause the bottom to crack. Smaller tanks youll likely be fine.
Iād recommend putting some form of cushion or padding between enclosures and other things youāre transporting, as items can easily shift and move in transit, you donāt want something smacking into glass.
As far as animal stress, just keep them in a location they wonāt be sliding around or being tossed around much. Some stress is expected, but minimizing it is key. Iād recommend keeping them in the dark, and trying to make sure that they have adequate air to breathe and theyāll do just fine.