I see your question is a bit old, but....I'd like to help you if you haven't already made your move.
One question that would help with this is...what is your price range? The towns you mentioned, Livingston, Summit and Mllburn/Short Hills are all excellent options, albeit pricey - with great school systems and lots of local shops, movies, restaurants and recreational opportunities. Millburn and Summit have more of an "old world", charming feel with older homes (colonials and Tudors are common styles). The also have downtown walk-able commercial areas, and offer the Midtown Direct train into Manhattan (no changing trains.).
Livingston has a more contemporary feel - the style of homes can range from ultra contemporary to more traditional colonials and ranches. The commute would be via a bus (4-55 min) as well as a jitney service to the direct train in S Orange.
I would be happy to discuss this further, and in more detail, so feel free to reach out to me at your convenience.
If, however, you have already made your move........welcome and I wish you all the best!!
Berkshire Hathaway HomeServices NJ Properties, Livingston Office