Best London area for great primary and secondary school

[user1490024866]

Hi all! we are a young family and we will soon have our first son! We are planning to buy a 3/4 rooms house, but we are finding very hard to find homes within the catchment area of a great primary and secondary school.
We are looking into an area with good commute to Bank and Canary Wharf.
We have checked:
Greenwich - no good state schools
Balham - no good secondary state schools
Clapham - same problem as Balham
East Dulwich - commute to CW and the city is not great but perhaps is the best option in the school front which is our priority.

Does anyone else had the same conundrum?? we are not too fussy on the Ofsted classification rather we are keen on hearing opinions of all of you.
Our budget for the home is £1 to 1.2 million and our family is catholic if IT is of any help

Many thanks in advance!

As you are Catholic have a look at St James' RC Primary in Petts Wood, Borough of Bromley. Been outstanding for years but weekly attendance at mass necessary, very friendly school. Many go on to excellent St Coloma Convent (girls), Croydon (state). Gorgeous houses in East PW within your budget. Good local shops, plus Bromley, Bluewater shopping centres within a drive. Plenty green spaces. Central Petts Wood Station - trains to Cannon Street, walk to Bank or change at Lewisham for DLR to CW. Trains also to Victoria. Plus Thameslink. St Olave's (boys) secondary nearby but LBB residents can take Kent and Bexley grammar tests, so some pupils travel across borough line. Good bus services. Also very good independents nearby, Bromley High (girls). For other good independents, coaches to Eltham College (boys) and Colfe's (mixed), Farringtons (mixed).