M.K.
i know its hard - i agonized when i moved here from the uk - i had a dog and 2 cats, my dog was 10 years old, and my cats were 12, so i had the same dillema.
in the end my dog only lived a year, one of the cats 18 months - i still have one of them at age 14.
it cost me $2000 to ship them over and sometimes i wonder if the stress on them was not more than it was worth for such a short time.
i also believe that animals miss us, but they can easily form attachments to other people, they just need a "pack".
you could get a pet sitter to take care of them twice a day, but that would be hard going for a whole year.
the only options really that are feasible to you are getting a family member to take them for you, find a foster home for them or rehome them - which i know would be hard and horrible.
you cant give up a job for your pets, this you already know, but its a hard choice.