The shore area has many family friendly towns. The nicest is Spring Lake. To see info about it, go to my website. There you will get town info, school info, and demographics too. If you like what you see, you can search the MLS for Spring Lake there, too.
The other town that's really wonderful for families is Manasquan. All the above info is also available on my website. Hope you decide the shore area is right for you!