I would not throw things out, I would simply mark them "Not at this address" and put them back out in the mailbox.
As for your move - sounds potentially good on the surface. I like the idea of a small mortgage that allows you to have more time for your kids (but what will you be living off of if you don't work? Are you thinking the child support/alimony would be enough? Please don't spend down savings or retirement accounts).
However - if this other location has such cheap housing, how is the job market? What will employment opportunities be like for you there in the future? Are salaries as good? I like the idea of you being close to your best friend.
And are you positive that H will sign off on your moving out of state? Get that in writing ASAP.
