The holidays are always busy for Gregg Bishop, the commissioner of the New York City Department of Small Business Services, which kicks into high gear during the consumer frenzy of December. Through the rest of the year, however, his agency is focused on providing support, including financing and legal services, to the city’s small businesses. Since Mr. Bishop was appointed in November 2015, he has certified a record number of minority- and women-owned businesses, and expanded the department to better serve immigrant entrepreneurs. He is also an adjunct professor at Baruch College’s Marxe School of Public and International Affairs and board president of the Red Hook Initiative, a community nonprofit. Mr. Bishop, 43, lives in a one-bedroom apartment in Downtown Brooklyn.