I went into psych, whereas most new grads (and a lot of experienced nurses for that matter) run screaming in the opposite direction because they want ED, ICU, L&D, anything but. My first nursing job was per-diem because that was what was available, and I sold myself well enough to get hired.
However, I also worked 40 hours a week every week that first year until a full-time position opened up. I knew there was no way I would have developed as a new grad by pulling only 1 or 2 shifts a week, so I made myself available for whatever shifts I could: days, evenings, weekends, any unit. And yes, it did involve a lot of creative childcare...I had a toddler but thanks to the military, I didn't always have my better half at home to watch him. But I needed the experience, and the only way I was going to get that experience was to be at work as much as I could.
After a couple of years of full-time work, I relocated across the country and had no problem getting another per-diem position where I actually didn't work 40 hours a week
The first year of nursing is tough enough as it is. Working part-time means it's going to take that much longer to transition from new grad to competent nurse. I would try to find a way to make full-time hours work for you, at least for the first year. After you get that year under your belt, then employers would see you as a better candidate for part-time or per-diem.
Best of luck whatever you decide.