Mayor Jane M. Byrne emerged this morning from her new home away from home in the Cabrini-Green public housing project here and announced that she and her husband, Jay McMullen, had spent a ''lovely'' and ''very quiet'' first night at the violence-torn, predominantly black complex.
At a news conference in a small, freshly painted and scrubbed ''social room'' on the first floor of the building, which is about a mile from her regular Gold Coast apartment, Mrs. Byrne, wearing a lavender suit, said that she and her husband had wiled away the evening watching the Academy Awards presentations on television.
The television set was on loan from Montgomery Ward & Company, as was the rest of the furniture in the two-bedroom, fourth-floor apartment.
'We didn't want a lot of hoopla,'' Mrs. Byrne said when asked why the move had been made before informing the press. After the Mayor moved in, two policemen were stationed in the lobby and another outside the door. Two of her bodyguards, who are staying in another two-bedroom apartment adjacent to hers, were reported to be standing outside her door. At least four marked and two unmarked police cars patroled the area around the building.
