The schools in Milford on Sea are a short list with the village primary at the head of it. There is one Church of England primary inside the village itself. The nearest state secondary sits a drive away in Lymington. A handful of independents ring the edges for families willing to pay. For a small coastal village whose median resident is well past the school run, that is roughly the provision you would expect, and not a great deal more.
Living in Milford puts the village primary within reach, which is not the same thing as getting a place at it. Admissions run on distance and the number of places going in any given year, so a Milford postcode is a strong hand rather than a guarantee, and the secondary in the next town is settled by that year's applications rather than by the address on the letter. Anyone buying here on the strength of a particular school gate should check the actual admissions position for the year they need, not the reputation.
Inside the village, Milford-on-Sea Church of England Primary School is the local state option. For secondary, most families here look to Priestlands School over in Lymington, since Milford has no secondary of its own. The surrounding villages add more Church of England primaries within a reasonable drive, among them William Gilpin Church of England Primary School at Hordle. On the fee-paying side, Walhampton, Southlands School, and Hill House School sit within range for households treating school as a purchase rather than a catchment. Beyond the schools the record actually names, the honest move is to describe rather than invent, because a school you half-remember may have closed, merged, or changed its name since.
The schools here are steady rather than a headline reason to move. The provision is thin but real, and families who want genuine choice do most of their choosing in the towns nearby rather than in the village itself.