In general if you are looking for family friendly buildings look for newer and larger complexes, they will likely have decent clubhouses with children playrooms and many other facilities.
I can't comment on island side, but on Kowloon side, you can consider the complexes above Kowloon Station. Most are very nice and have good facilities. Right below them is Elements, a high end shopping mall which has lots of restaurants and shops (and two 5 star hotels with their own bars and restaurants as well). There is also a large open space with a great children's play area above the mall. You have a direct MTR connection to HK station (1 stop) and from there it's easy walking distance to Central.
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