Good advice above on the rabies vaccine. Definitely something to look into and probably should be your first point of research. The vaccine and titer test is absolutely preferable to a quarantine, which would cause a lot of stress on you and your cat.
I need regards to the actual trip, I am moving across the country (not abroad, but it's a long way) with my cat (7 years old). To me, she is my family and I would rather subject her to a day and a half of stress than have her be without me for two years. Assuming you feel the same way, I feel is worth it to move the cat unless they are very old. Decide if you want them in the cabin or in the cargo, and keep in mind that during peak summer and winter months most airlines require they be in the cabin with you due to it being very hot or very cold in cargo. I plan to purchase a soft sided, airline approved carrier (a small sized SHERPA carrier is a safe bet) and have a chat with the vet about sedation as my cat is high strung- if you don't feel comfortable with sedation, which I'm not sure if I do, there are calming sprays you can use in the kennel. As I understand it you will need to remove your cat from the carrier during security so have them in a harness and leash. Your vet will have information on feeding and watering during the trip, but generally cats under stress won't eat or use the litter box anyways so even for 8-12 hours they should be ok. More money for more direct flights is always worth it with a pet. Make sure they are used to the carrier before the trip by placing them in it and NOT going to the vet.
Another thing to think about is finding a place that allows pets. Make sure if you're sharing a house or apartment your roommate(s) are ok with your pet and the responsibilities (I.e. Not leaving doors and windows open) with it. I personally will splurge for a bachelor apartment so we can have our own space. It may be a little more expensive or difficult to find a pet friendly place but in my mind, it will all be worth it when I'm settled into a new place with a familiar friend.
good luck!