The Afrikaner family of nine looked around the small office space in Birmingham, Ala., feeling jet-lagged as they took in their new surroundings. Errol Langton, the patriarch of the white South African family, had spent much of his time so far with a pen in hand, signing required documents at a refugee coordinating office.

His granddaughter played with toy blocks on the floor. His oldest son watched over her. They had just eaten noodles. Later, they would spend time looking for apartments.

“Everybody still doesn’t believe that we’re actually standing here,” Mr. Langton, 48, said in an interview, about 40 hours after landing at Birmingham-Shuttlesworth International Airport. His family was among the first group of 59 South Africans who arrived in the United States this week, about three months after President Trump signed an executive order establishing refugee status for Afrikaners, the white ethnic minority that ruled during apartheid.

The president essentially halted all refugee admission programs on his first day in office. But he soon created an expedited pathway for Afrikaners, who claim they have been discriminated against and subjected to violence because of their race, or have reason to believe they will be.

Now, the Langton family has traded its South African hometown on the beach, Hibberdene, for a southern American city thousands of miles away. But Mr. Langton said he felt much safer already, as did his extended family who had joined him: his wife, son, three daughters, son-in-law and two grandchildren.

Mr. Langton has a brother in Birmingham. But he said another factor had also drawn his family to the state.