As clients demand a broader range of legal services, more law firms are adding practice groups — even if that means gobbling up another entire firm.

In the latest example, Pullman & Comley has announced it is expanding its practices that represent school district and municipalities by hiring all but one member of the Hartford firm Sullivan Schoen Campane & Connon. The six attorneys at the 38-year-old firm, including William R. Connon and well-known school attorney Michael P. McKeon, are making the move to Pullman & Comley’s downtown Hartford office on Monday, June 3.