Hi, you should be alright for the short time there and Long-island is nice in the summer-early autumn months.. Check out the suburbs along the Frankston line between Carrum and Mentone (probably the nicest along that line with the best balance of what you need/want and full of private and nice enough state schools and close to shopping etc). These are mostly quite nice, near the beach, a bit closer to the city 40- 50 mins, somewhat more up market than Frankston and state schools, certainly at primary level seem pretty nice. The good thing about these suburbs is that you will not be completely car-bound.