Alexandra seems to be good. It is a bit confusing, but Alexandra is two separate schools - the junior in Cator road, the infant in Kent House Road (near the station). Unless your children are junior age when they apply they'll need to be living close to the Kent House (Beckenham) part of the school which they won't be if you're in Sydenham. I guess if they are of junior age then you'll have a chance of getting them into the Junior school that's in Cator Road though.