Choosing not to publicly display your business address is perfect for those who work from home or provide services to customers at their location, but don't want the address on their listing.
To do this, make sure you are logged into Google My Business and go to the "Info" tab.
Find your address and click the pencil icon next to it, which will bring up a window to make changes.
You will find a "Clear address" button at the bottom of the pop-up window. Click on it.
When you click "Apply", you prevent your address from appearing on your listing.
Double check that the locations listed as your service areas (the section below on the main "info" screen) are correct, and add any other locations you serve if they are not listed.
That's all you have to do. You will have hidden your address, but people searching in your service areas will still be able to find you.