For better or worse, lawyers switch firms with increasing frequency and, when they do, they carry with them various conflicts of interest. In particular, under the New Jersey Rules of Professional Conduct, a lawyer may not represent Client A at the lawyer's new firm if (1) the lawyer's prior firm had represented Client B in the same or a substantially related matter, and (2) Client A's interests are materially adverse to Client B's interests. (NJ RPC 1.9). That prohibition, moreover, applies to the entire new firm unless the lawyer is "screened." (NJ RPC 1.10)