Depending whether you are wanting Public or Private, I personally went to Scarborough State Primary and Redcliffe High and my neighbours went to the Southern Cross Private School, I believe they're becoming quite strict on the boundaries in which you must live within to be approved for the school so I would just give them a call first or have a look in the edu website for more info.
Public Transport is great! There are buses going in and out fand the bus stops are never too far away. For example, to get to the nearest Train station (Sandgate), the earliest bus leaves at 4.52am. They are currently building the train station which will end in Kippa-Ring which will make the nearest train station virtually under 10 mins away (via car).
You can have a look on the Translink website (http://translink.com.au/) and go to the left hand side of the page where you can have a look at the 'Journey Planner' for a better idea.
Growing up in Scarborough there was not many shops around however, in the last few years they have shot up! There are hair dressers and beautiful Restaurants and Cafe`s along the Scarborough waterfrront over looking the beach or Scarborough park, a convenience store and fruit shop a bit further up on Oxley Avenue, a Convenience store, hair dressers and gorgeous Italian Restaurant across from the Scarborough Marina or a new Coles and a couple food outlets next to the Redcliffe Leagues club (very close to Scarborough).