Good, and the odds are on your side. Nearly nine in ten graded schools in the county make good or better. The village has its own infant and junior schools. A secondary is a short drive away. The worry here is admissions paperwork, not quality.
Ofsted has graded 211 schools across Hampshire, and 185 of them are rated good or outstanding, close to nine in every ten. Of those, 27 are outstanding. At the other end, 16 require improvement and 10 are inadequate. These counts cover the whole county, not Bursledon alone, so they describe the system a Bursledon child is placed into rather than the village's own classrooms. Another 226 settings hold no published overall grade, mostly because they have not been inspected under the current framework, and that says nothing either way about how good they are. Parents who treat an ungraded school as a failed one are reading a blank as a verdict.
The village's own names are Bursledon Church of England Infant School and Bursledon Junior School, which between them cover the primary years without anyone leaving the parish. The Department for Transport's 2019 modelling put the nearest primary about 13 minutes' walk away, or about 8 minutes by car, which is close enough that driving to it counts as a lifestyle choice. For secondary, The Hamble School and Brookfield Community School are the names that come up. The nearest secondary was about 11 minutes by car, about 20 by public transport and about 27 on foot, so most children face a proper journey at eleven, and the school run changes character with it.
Around the edges sit other primaries such as Netley Abbey Infant School and Hamble Primary School, part of a spread of primary schools across the surrounding villages. That choice is real, but it is choice in the way a restaurant menu is choice when the kitchen decides what you get.
None of the schools named here comes with a guaranteed place. Hampshire allocates on its admissions criteria, and living near a school, or in a village that shares its name, is not the same as being offered a seat there. Buyers who pick a house because of the school on the sign and skip the admissions rules sometimes discover in spring that the rules were never about the sign. Check the current criteria and the last few years' allocations for the specific school before you exchange, not after.
The schools are one of Bursledon's real strengths: a strong county system, a local infant and junior pairing on the doorstep, and secondaries within reach. The only way to lose here is to assume the house buys the place.