The great part about Culver City is a number of neighborhoods are situated around public parks. In fact, most people refer to the neighborhoods where they live by the park. For instance, you have Carlson Park, Vets Park, Lindberg Park, El Marino Park, etc. It really creates a smaller neighborhood vibe because neighbors get to know each other while their kids are playing at their local park.
I really love East Culver City which is also known as the "Arts District". It has a bunch of great restaurants, fun shops & art galleries. It also has it's own park, Syd Kronenthal which has play areas and sports courts & fields. It is also close enough to walk to downtown Culver City which is filled with shops, restaurants, theatres & movies and a great Farmer's Market on Main Street every Tuesday.
Carlson Park, Vets Park & Lindbergh park are all great family neighborhoods, but by no means are they the only ones. Most of Culver City is a great place to live. I would encourage you to do a tour of the local parks and the neighborhoods around them. Go to the following Culver City page to get all of the addresses: http://culvercity.org/parks/park_sites.asp?sec=vis
If you ever have any questions about any area in Culver City, feel free to call me. I am a local real estate agent and I live in East Culver City's Art District. (Hence the bias.) Good Luck!