zdejmować/zdjąć suggest that something was hanging or put at the top of something so we have to reach for it. Also it means that something is covering another thing and to reveal it you have to put off/pull off the cover/covering thing. That's why we use this verb with e.g. following nouns and pharses:
revealing things:
zdjąć pokrywkę
zdjąć wieczko
zdjąć ubranie
zdjąć okładkę
reaching for things at the top of something or hanging on something:
zdjąć pudełko z szafy (it means that the box
was not inside the closet but
ouside of it at the top of it pudełko stało na szafie, zdjąłem je).
zdjąć płaszcz z wieszaka (the overcoat was hanging on a hanger)
zdjąć kapelusz z głowy (the hat was at the top of your head)
zdjąć naszyjnik (the necklace was hanging on your neck)
As for the
Zdjąłem słuchawkę, wykręciłem
it's not very correct unless the phone was an old type phone with phone receiver
hanging on the hook. General word for picking up the phone is
podnosić.