A homeless man shuffles through the door to receive his daily lunch: a turkey sandwich, bag of chips and strawberry pudding. He reaches for a bar of soap and bashfully asks, “Do you have a coat?”

A woman behind the counter at the nonprofit Bienvenidos Outreach Inc. smiles and points to a rack of clothing behind him, from which he selects a blue-and-white striped shirt that’s far too large and a purple zip-up that’s a bit too small.

“Perfect,” he said as he pulls his arms through the sleeves, layering the garments…