Your visitor cannot name the city they live in, so answer it for them
Much of the valley sits in unincorporated Clark County, so a visitor in Spring Valley or Paradise does not know whether your Las Vegas page is meant for her.
Put the county on the first screen in plain type. One line stating that the firm handles family matters filed in Clark County, and naming the areas you serve, does more work than a hero headline about compassion and strength.
Do the same for Henderson and North Las Vegas, which are separate cities and are read that way by the people who live there. A visitor from Anthem who sees only Las Vegas will assume you are somebody else's firm and close the tab.
Skip the service area map. On a phone it is a slow image the reader has to pinch and drag. A short list of area names is faster, is readable by search engines, and answers the question directly.
Say where the office is and roughly what the drive looks like. Somebody in Centennial Hills weighing a trip across the valley on the 215 would rather know now than find out after booking.