Yes, that's part of the HIPAA thing that we all sign every time we turn around, it seems like. Check with your new insurance for any documentation you might need when you move, and then get it from your current insurer before you go. Makes life much easier. If you don't meet the criteria, you may still be able to pay for your current insurance to continue covering you for BRCA-related stuff only, as part of the COBRA plan. Best to find out now what your situation will be, rather than find out that your old coverage lapsed before your new plan covered you.
Good luck! I can't imagine moving in the midst of all this.
Don't worry about the world coming to an end today. It's already tomorrow in Australia. -Charles Schulz