Choose the riverbank before choosing the meeting point
Riverside Park and the pool are on the Crowmarsh side of Wallingford Bridge. The town's shops and Market Place are on the Wallingford side. Both may be described as central Wallingford by a visitor, so a booking made simply for 'the bridge' can leave important details unresolved.
A return pickup on the side where you finish can save crossing back with bags or tired children. It lets the day end at the park or in town, according to your plans. Collection needs a suitable road-accessible point, so a riverside booking is tied to that meeting place rather than a spot on the towpath or beside a moored boat.
Wallingford Town Council describes riverside walks towards Benson and Dorchester-on-Thames, and towards Cholsey and Moulsford in the other direction. A pre-booked collection at a suitable endpoint gives a one-way walk a practical finish. You can cover new ground without needing to retrace the route to a parked car.