Similar in the Netherlands (idk about banking, but), nowadays if you move house, you just make an appointment at the local county hall and set your new address; the old county is informed, and a lot of companies that bill you regularly (e.g. utilities, health insurance, etc) will automatically reroute any mail to your new address.

I'm glad for that too; mail is pretty much dead, I wouldn't know what organizations to report an address change to nowadays.