I'm from a similar country and would never have thought about using snail mail for anything you've mentioned.

For bank cards you go to their branch and get a new one from a person who works there, or by interacting with a terminal which prints your name on a blank card and spits it out. Some banks deliver them to your home address by courier service and hand them over in person, and they're not "elite" or special by any means.

Utilities are paid through online/mobile banking, there are many alternatives and it takes maybe 10 seconds. Even my 70-something year old relatives use them. Some even older ones rely on help from others, or to go physical bank branches and pay there (which wastes a lot of time of everyone waiting in line to be serviced — I don't personally know anyone who does that, but have seen it a couple of times).

Price increases? Local news, or you can subscribe to receive them by email. Or just check in the online banking app when it's time to make another payment, it's all there.