It is dificult to staff with nurses who work both 8's and 12's on the same unit...that's why most places will do either 8's or 12's.
There have to be enough people to work the 24/7...and you have to have enough perdiems to cover sicktime, vacations, etc.... it gets complicated to staff...that's why you won't usually see a mix.
I did night 12's for years and my hubby left for work about 645 am. He would drop my son off in the hospital cafeteria (he was 4 by this time) .He set him up for breakfast and by the time he was througheating, I was through with night shift. I then dropped him off at school on the way home...worked well.
Your hubby leaves at 4 so this will not work for you.
How many nights a week do you plan on working? How many kids do you have? A teen can be hired as some suggested...they like the $$ to sleepover if a relative isn't available.
I know in a pinch (hubby out of town) I took my son to work with me and he slept in an empty room but this was not a regular practice....and my hospital was open to this on occasion rather than have a nurse call in especially for a 12 hr shift.
If you don't need benes maybe ask about doing 'short shifts' 4's, or 6 hours to cover 'holes' in staffing..or during peak hours...they may go for that and you could work around your family's schedule a little easier. Or you could work weekends only or when your hubby is off...as suggested. Good luck to you...I know it's a challenge working and raising a family, but sometimes facilities will work with you too if you ask and remain a bit flexible yourself.