You can save the most money on installation by doing it yourself, bringing your labor costs down to $0.
But if that’s unrealistic for you based on your skills or availability, the next best thing you can do is to make the job as easy and fast for the professional as possible in hopes of decreasing the number of labor hours.
One way to do that is to remove and dispose of your old garage door opener yourself before the contractors arrive. This gives them a clean slate to work from and could take as much as an hour off your labor costs. Also, making sure you buy the right type of garage door opener to begin with will help save time and headaches.