wechseln

to exchange sth. with sb. (letters, glances)

whom you exchange with — the other party, not a place you switch to

Sie wechselt mit ihrem Nachbarn nur wenige Worte.

She exchanges only a few words with her neighbour.

womit?damit

to switch to sth. / sb. (a provider, an employer)

what you switch to — the new place or provider

Er wechselt zu einem anderen Anbieter.

He is switching to a different provider.

wozu?dazu