I don't know how helpful this will be as I don't have direct experience (yet) of the local schools as my DD is not yet of school age but we have recently moved to Hayes, principally for the good schools, affordable housing, good train link into London and also because it seems like there isn't so much of a mad bun fight for school places compared to other areas of London (like having to live within 200m of a school).
You have probably already done this, but if you go to the Bromley council website and the education section and applying for school places, there is a page in the booklet which tells you (for the last 3 years) how far away the furthest pupil lived who was offered a place, so you can look at houses which are likely to fall within the "catchment" of a particular school.
People I have met are all quite glowing about the primary schools in Hayes/WW and also about the Langley schools (single sex) and Hayes secondary (mixed).
WW has more of a centre than Hayes and also has a swimming pool but Hayes is easier to get out of London. Both have small libraries. I would say they are much of a muchness really - it is less than a 5 min drive between the two. If you need the London train line then we found it much easier to find houses nearer the station in Hayes rather than WW.
There are lots of children's classes in the general Bromley area. The downsides I would say about the area are that there are no lovely parks in Hayes/WW (like in London) - there are playgrounds and "recs" but not really any parks where you can walk around and take a picnic to (apart from Kelsey park in Beckenham which is lovely but is a 10 min drive from Hayes). The other thing is that it does feel very suburban and it doesn't feel like an area brimming with young professional people.
Sorry, I don't know where you are coming from and what sort of thing you are expecting but if there is anything else I can help with then feel free to PM me.