I have friends who have their birch trees topped and thinned regularly to reduce wind resistance as they were planted too close to the house and are a potential danger in strong winds. A good tree surgeon will do it without making the tree look ugly.
You should be able to ask for photos of trees he's done or else a list of his clients whom you can call. Don't leave it too long as the sap will be rising soon, if ithasn't started already, and your tree could bleed to death.