I'm not 100% certain but I don't think LEAs are under any obligation to provide transport now.
There is an obligation over 3 miles on someone - in our parts it's Wiltshire Council but the wear so many hats I'm not sure which hat brings the obligation
There are statutory 'walking distance' obligations on all LEAs. Above which free transport must be provided.
For under 8 year olds If the walking distance is more than 2 miles to the nearest
suitable school. For 8-11 year olds it's 2-6 miles if they are from low income families.
For aged 8 and over it is 3 miles.
If there is no safe walking route then free transport must be provided regardless of distance.
A
Suitable School is one that is publicly funded, providing education appropriate to the age, ability and aptitude of the child. Any disabilities are also considered.
One contentious imbalance in the legislation is provision of free transport on religious grounds. That can be provided for 2-15 miles for pupils to attend a
preferred publicly funded school dedicated to a particular faith. Even if there are closer secular schools.