Trees and Pigeons

Neighbours each side have enormous trees right on the boundary with my garden, so I hVe a constant problem with leaves, 12 bags week in winter, pigeons which have made my lawn like a huge area of pigeon poo, it is horrible. Had tree surgeons to see if they could do something, but they need access from neighbours gardens which both refuse as they don't care about the mess, they just leave the leaves and the poo. Think I will have to give up on the lawn, any suggestions please.