It's a common misconception that cats don't handle change very well and have trouble settling in after an international or even a domestic move.
We see evidence to the contrary every day; the truth is, your cats will probably be happy wherever they can be with you!
For example, here's a photo update from three cats we moved from the United States to Sweden a few months ago.
Their mom says her fur babies are doing a fine job settling in and everything is back to normal following their relocation.
As you can see, they look pretty content doing all their normal cat activities (cuddling, snoozing, perching, etc.). That's Casanova above, and here are his cat siblings...
Seymour
Sydney