Howzitgawwn Hen? (Haven’t said that in years)
I’m not sure if you want to move to NY City, or NY State in general. There are big differences between the two.
Anyway, have you started the immigration ball rolling yet? As you may have read with other posts, it can be a long and frustrating process, but there are resident experts here who can steer you in the right direction.
Your impression of NY is not far off the mark. I live on Long Island and although I am just a humble nursing student (finish in July) I honestly get the feeling I am spoiled for choice for jobs when I am finished, such is the shortage out here. You will do well if you stick at it.
I would suggest however, that you visit the place first though. Yes, NY is very similar to London, but very dissimilar to Scotland, The work ethic over here is…er… motivated to say the least, and your average New Yorker thinks that 10 days “vacation” a year is ample (wouldn't want anything to get in the way of a good days work) Also, Central Park isn’t exactly Oban if it’s lush greenery you want. I don’t mean to deter you; I just think you should experience it first, because when you come here to work, you will hit the ground running.
So, here are a couple of links to some of the hospitals in NY (I heard somewhere we have over 600 of them). Hopefully it will give you an idea of the scale of things. Sorry I can't be of more help.
All the best with your venture; I certainly recommend it over here. The pros definitely outweigh the cons (with the HUGE exception of housing prices…half a million $'s for something “modest” here on Long Island… Oh, and I haven’t found a decent pint of Cafreys yet).