Beware of the tree butcher who has fine words but dull tools. You can usually judge the efficiency and workmanship of a tree trimmer by the way in which he cuts off a good-sized branch.
He should make three different cuts in the proper removal of the branch: first, a cut on the underside of the branch out a foot or so from the trunk of the tree, then a cut from on top to drop the branch without tearing the bark; and the remaining stub should then be sawed off flush with the trunk, leaving a nice, smooth, even scar which should be painted with a good tree paint.
Although more expensive, it is better to remove the stump rather than simply to cut off the trunk. Do not wait to decide to grub out the stump after the tree has been sawed off near the ground. The task then of such removal is much greater than when the main trunk of the tree may be used as a lever for pulling the tree over after the roots are partially cut.
After the stump has been removed the hole should be filled in, tamped down and seeded or sodded in early spring.
Hiring a professional with a stump grinder is also much less of a workout but will touch your wallet. If you go the DIY route remember – Safety First!