Worked different variations of the night shift off and on for several years. I've got off in the morning, stayed up until 1-3pm or so, and slept until time to go to work. I've also hit the sack as soon as I got off and slept until 4-6pm. The day time sleep thing happened best for me in a totally dark room. When the kids were home in the evening while I was sleeping, I did best with regular family noise going on. When my wife ran a daycare, I actually did better with all the noise than if everyone was trying to be quiet (yea, right, a quiet day care, uh huh, sure). Whispering and trying to walk softly through the house seemed to keep me right on the edge, and I never slept well that way. I did try to split my sleep time, 3-4 hours in the morning and a 2-4 right in the evening. Totally bombed that. Sleep studies suggest a full 6-8 hour continuous sleep cycle brings the better rest. My best time to sleep was in the evening; not that I didn't do well sleeping during the day, especially when no one was home. It's just that trying to relax enough to get to sleep right after work was hard to do. This was also the same schedule my body was used to, only I did this at a different time in a 24 hour period.
Having said that though, my best schedule worked so that when I got off, I went directly home, hit the sack in the totally dark room and told myself, "You've got to go to sleep," and practice relax technics to do so. This way I still had family time in the evening. If I stayed up for even just an hour, the sun shine and activities of the day (errands, change the oil in the bike, good riding weather) put me in the evening sleep mode, screwing up my daytime sleep schedule.
Whatever you do, it does seem better to find a schedule to adapt to and stick with it. I would stay up for the day on the last day of my shift with a little afternoon siesta, and try and cat nap the evening before my shift started again. Good luck on the routine and I hope you find a good one to settle into. No matter what, family time is important and I hope your schedule will work for you to have your time with them.