The link to Dutch school enrolments has a map of primary/nursery schools called kleuter/lagere school in Dutch) for Brussels but it isn't working!! Only the secondary school map is working, but there are Dutch schools throughout Brussels. You will need to contact this website to ask if you need to go through this centralised enrolment procedure for 3rde kleuter (3e maternelle) or if you should contact all the schools directly in Brussels. Just bear in mind the high percentage of non Dutch in these schools, plus in Brussels around 80% of people class themselves as francophones and the minority Dutch speakers are in the main bilingual French too and are used to day to day things being in French. Brussels is officially bilingual, meaning people have the right to all services in schools, hospitals, shops in Dutch, but in Etterbeek you are more likely to hear Arabic being used, in Schaerbeek more likely Turkish or Albanian than Dutch! It's quite weird too, on the VUB /ULB campus, you'll hear Dutch in the northern part of the campus then you just walk a few metres into the south part of the campus and voila everything is in Dutch.
Brussels is surrounded completely by officially Dutch speaking Flanders or Vlanderen, the communes (gemeenten in Dutch) which join Brussels and make a big ring shape around Brussels are called "de Rand". It's estimated still only 40% of children in this area have Dutch as a first language, still a better percentage than in Brussels, but the 40% includes some areas like Kraainem where the figure of francophones is over 70% in an officially Dutch speaking area, so some areas are overwhelmingly Dutch speaking, others not so, you need to do quite a bit of research to understand the linguistic borders of Belgium. I would say the best Dutch areas outside Brussels to commute to VUB would be those gemeenten south east of Brussels : Hoeilaart is a good choice as there is a direct train to Etterbeek station next to the campus in as little as 13 minutes, although the service is sometimes only 1 train an hour or alternatively a slower de Lijn bus, Overijse by de Lijn bus or Tervuren by STIB trams.
Here are the officially Dutch speaking gemeenten surrounding Brussels
www.vlaamserand.be/vlaamserand.php
Here is a bus / train map showing routes from Hoeilaart / Overijse / Tervuren into the VUB campus
www.delijn.be/images/Netplan_Haltes_vervoergebiedBrussel_web_tcm7-16943.pdf
Here is a map of the 19 Brussels communes, you can see VUB campus mainly inside Ixelles and a crest shape, the outer parts of campus are in Etterbeek and Auderghem
www.ilotsacre.be/site/gemeenten19communes.htm
Ok here's a way of searching for Dutch schools by gemeente name.
www.ond.vlaanderen.be/onderwijsaanbod/lijst.asp?hs=bao
I made this map recently for a parent living in Hoeilaart so you can see all the Dutch schools in the gemeenten of Hoeilaart and Overijse, a little work and I could add the schools in Tervuren too.
batchgeo.com/map/1b02a9c8794431f747e1ae84479b87b3
Back to French schools, I would personally just phone as many schools as possible. This is a website for searching for French schools.
www.enseignement.be/index.php?page=25932
The VUB campus is in fact in 3 communes, Ixelles, Etterbeek and Auderghem, then really close is Watermael-Boitsfort, Woluwe St Pierre and Woluwe St Lambert, so when looking for schools and somewhere to live, I would get to know the post codes and names of communes.
For a small 3 bed house in Auderghem, expect to pay from ?300,000 purchase price. Expect purchase taxes and notary fees to be up to 15%, so add another ?45,000. It's not unusual for people to search for 2 or 3 years before finding a house here in their budget! I certainly would not recommend that route initially, until you know your areas well and are certain you would want to stay. To sell the house, estate agent fees are very very high here, many people sell / buy by auction here, or buy from private announcements, suppose to avoid high fees.
A quick look on the website Immoweb, the biggest property website, had only 2 adverts for a 3 bed apartment (no houses) for ?1000 per month or less in Auderghem, Ixelles and Etterbeek ..... whereas you'll find plenty 2 bed apartments. You get more houses the further away from the centre of Brussels you look. How much could you afford in your budget?
One last thing, parking in Etterbeek and Ixelles is a big problem if you don't have a garage, Auderghem, Woluwe St Pierre and Watermael-Boitsfort less so.