The best way to apply for a new grad position is to search for job postings that state " new grads welcome to apply". Many of the surgical floors and med-surg floors post positions in which they consider new grads. The same unit may have 3 positions listed and one or two of those positions may have that specific sentence.
I applied to 6 or 7 openings from two specific units, within three weeks I had an interview and was hired.
I've never worked at St. Peters but we have nurses on our floor that have either worked there or tried to get a job there. I hear that nurse to patient ratios are higher. It's not a teaching hospital, so in general they are not big on hiring new people to train, although they do offer new grad preceptorships each year. AMC teaches everybody, the overall environment is more accepting of "newness" and precepting, educating people. They are used to people coming to get experience and knowledge and then leaving, from residents to nurses. You get to see so much at AMC, all the patients that other hospitals can't treat, patients on research trials, etc.
Both places, I'm sure, have their strengths and weaknesses.