I have great news: I received (and accepted) a job offer with a hospital! It is amazing how the timing worked out. Here is how everything worked out:
July 27th: this was the day of my interview - 10th one's a charm.
July 28th: I got a call from my recruiter that the nurse manager on the unit that I interviewed wanted to offer me a position!
July 29th: I went apartment hunting and found one.
July 31st: I moved out of my old apartment. Received my "official" job offer (and accepted!), and got approved for my new apartment just as I was driving into the city.
Amazing. No coincidence.
I have a pre-employment physical tomorrow morning and will have to go in at least another time before orientation. Orientation starts on the 11th!