Exact match on a borough plus a matter is the only affordable entry point
Broad phrases in this market are priced by national advertisers with far more budget than a single firm, so the winnable inventory is narrower and more specific.
The broad divorce and custody terms in the five boroughs sit at the top end of what legal search costs anywhere. Bidding into them with a modest budget buys a handful of clicks a day, most of them unqualified, and starves everything else.
Start with phrases that carry both a matter type and a place. Child custody attorney plus a borough. Contested divorce plus a neighborhood. Order of protection plus a county name. Tighter match types cost more per click on paper and less per consultation in practice.
Add the circumstance terms that broad campaigns never surface. High asset, business owner, apartment, relocation. People type these when they already know their situation is not simple, and they are the clicks worth paying for.
Google also screens legal advertisers, and verification can hold up a new account. Start that process before you plan a launch date rather than after.