Rubuta ci gaba ga wannan sakin layi - Shaw ya fara aikin watsa shirye-shiryensa a matsayin mai gabatarwa da kuma mai ba da rahoto ga WNUS a Chicago. Daga nan sai ya yi aiki a matsayin mai ba da rahoto ga Kamfanin Watsa Labarai na Westinghouse a Chicago, daga baya ya koma Washington a matsayin wakilin Fadar White House. Ya yi aiki a matsayin mai ba da rahoto a Ofishin Washington na CBS News daga 1971 zuwa 1977. A cikin 1977, ya koma ABC News a matsayin wakilin Latin Amurka da shugaban ofishin kafin ya zama Babban Wakilin Capitol Hill. Ya bar ABC a 1980 don matsawa zuwa CNN a matsayin co-anchor na watsa shirye-shiryen PrimeNews, mai ba da labari daga Washington, D.C.. Shaw ya ba da labarin yunkurin kisan gillar da aka yi wa shugaban Amurka Ronald Reagan a shekarar 1981
(tare da Shaw wanda tsohon wakilin CBS News Daniel Schorr ya haɗu da shi, ɗaya daga cikin mutanen farko da ke kan iska wanda sabon tashar kebul ɗin ya ɗauka) an yaba shi da taimakawa wajen kafa CNN a matsayin tushen labarai mai inganci da abin dogaro a farkon lokacin a cikin tarihin cibiyar sadarwa.