American Arborist has the equipment and capabilities to do tree work with minimal yard disturbance. 

One way we can do that is by using alturnamats. Alturnamats are plastic mats we can put down to protect the yard from equipment. These perform better than simply setting plywood on the grass. Here we used the mats to approach a tree over this house with our bucket truck.
Another way is by using our Vermeer S600tx mini track machine. Other companies may come in with a full size skid steer to remove trees. These large machines are sure to do some yard damage. Often we can leave a yard the same way we came.