Personally, I wouldn't even bother. Just move and leave the cards where they are.
I don't even know where my cards are. They might be 2000 miles away from the state I was born in, or they might be 40 miles away at the last congregation I attended. I really don't know, nor do I care.
If you're going to try, then I agree with the above poster that suggested you transfer to an additional congregation after you move to the first congregation in "Chicago". In the past, I had moved to a new congregation that received my cards and when I wasn't there for a month they sent the cards back to the original congregations without my permission. I'm guessing they were just trying to makes their publisher count look better and not have to worry about tracking me down. That could happen to you after you stop going, they just might send the cards back to where you originally came from and you'd be back to square one.