Hi.
I cant help you much on suburbs as we are in a similar situation, in that we are moving to Brisbane in September and don't really know the suburbs!
We have looked at schools we like for our son (16) and working outwards from there - Cleveland is actually one of the suburbs near one of the schools we like. Birkdale, Wellington point, Manly and Wynnum have all come up trumps when I've been asking on here for suburbs.
Good luck with your move!