I'm sure these more seasoned veterans will reply with much more information than I could provide, but I'd be hesitant as a new grad to start in school nursing. For me, the most challenging part of school nursing is a lack of co-workers or supervisors (at least supervisors that are also medical professionals). A large part of being a new nurse is collaborating with seasoned nurses and colleagues.
For what it's worth, I started my nursing career in an assisted living facility - 90% of my job was passing meds. That job didn't utilize many nursing skills, and after a few months I was desperate to get into a place where I could perform procedures and become comfortable with a lot more skills than the job offered. School nursing, depending on how large the school and the student population, may provide some of these opportunities - but not as many as, say, a medical-surgical floor, where you'll REALLY get some skills under your belt. Just something to think about. I wish you the best of luck.