First answer
Is Baggy Point realistic with a pushchair?
It can be, provided you choose the lower accessible route and treat it as a short out-and-back visit. Baggy Point is a rugged headland, not one smooth route from car park to viewpoint. National Trust distinguishes its easy-access option from the wider network of uneven paths, so a standard pushchair is not a reason to assume every walk or loop will work.
For many families, the sensible plan is simple: arrive at the National Trust visitor area, check the route and conditions before unloading everything, use the lower path if it suits your wheels, then turn back the same way. If the surface, weather or your child’s patience makes that feel like a battle, pick a different part of the day instead.