Ulinski began his career in the arts as a studio furniture maker in 1976, opening a storefront business in downtown Raleigh. He began painting in 1993, studying with Elizabeth Lentz, Margie Stewart, Beverly McIver and Jacob Cooley. In 2000 he was offered his first solo show. He now exhibits widely in solo and group shows. He also continues to make studio furniture, which has been exhibited at the Smithsonian Craft Fair, the Philadelphia Museum of Art Craft Fair, and the John Elder Gallery in New York.
Ulinski recently served on the Board of Directors at Artspace in Raleigh, where he is an exhibiting member. He has taught painting and woodworking at Penland School of Crafts, Arrowmont School of Arts and Crafts, East Carolina University, and many local arts organizations.