Get ready to hear every 'snakes on a plane' joke you can handle, by the way. Hah
The information should be online, but it can be a bit tricky to find. Again, depends what airline you're using. As for transporting the snake on the plane, I can definitely help you out there! You won't have nearly as much trouble as I did either because you'll be moving during a warmer season. I moved in March and was afraid my snake was going to freeze to death on the trip.
If you're shipping your tank, you're going to need a crate for it. I decided to just sell my tank and get a new one after I moved. Ended up working out to be about the same cost-wise, and I didn't have to deal with trying to ship a huge glass box.
As for the snake, you're going to put it in a pillow case and tie off the end. This, you're going to put into a box/crate/something secure & that will retain heat [if your snake needs the temperature], padded down on all sides with some sort of packing material. I used a styrofoam cooler with crumpled up newspaper as my padding.
Because it was cold when I was shipping my snake, I had to tape a bunch of heat packs to the inside of the cooler to keep her warm. They're essentially those pads you put in mitts in the winter to keep your hands warm, only they're bigger and meant for transporting reptiles and fish and stuff. I got a ton from my reptile shop.
What I found was that the airline people don't know the first thing about reptiles, for the most part. One guy I talked to thought cold-blooded meant they generate their own body heat, and another booked my snake for a flight that didn't even carry animals. So you're going to have to pay attention and be very clear about what you need.
Ahh, just found the website I'd been looking for while I was babbling on:
Moving and Shipping Reptiles
That should give you the rest you need to know. I was really nervous and confused about what to do, but I found that link makes it pretty clear.
Hope all of that helps!