You can change your address with USPS with no fee. You just fill out a form and mail it to Postmaster, $your_town. I did it just last year.

The $2 is only if you choose to do it online.

Bonus: Doing it with paper means you don't give your information to the address change web site operator, which sells it on to a million companies.

Those coupons from change of address used to be sooooo good that I’d move from apt 1 to apt 2 (of my single family home) every few years just to get them.