This is something I've been wondering about for a very long time now. jisho.org lists quite many different words for "appointment" like e.g. 任命、待ち合わせ、予約 and a few more.
But it's not clear to me which to use when. So my question today is how do I say
I'd like to make an appointment. (when for example calling up a doctor's practice)
and how to say
I'd like to make an appointment to change my foreign driver's license into a Japanese one. (when calling up the prefectural police)
I'm sure I had other situations where I really really needed this word but didn't know it but right now I can't remember.