We don't have any such trees on our perimeter, but our neighbors do. When the trucks stopped at the neighbors' driveway and started taking down branches, I walked over to say hello...and to ask for some of the chipped wood they were creating from the scraps of trees.
"Sure" said the guy, and I showed him where to dump the woodchips.
When I got home last night, there was a gigantic pile of FREE woodchips by the pasture gate. Hurray!
The goats immediately claimed the pile as their very own toy."Oh, hey, this toy tastes terrific!"