If you'll be using oil-based paint, choose a roller cover made from natural fibers, such as sheepskin, lamb's wool, or mohair. You can also use a synthetic-fiber roller cover.
If you'll be using water-based (latex) paint, use a cover made of synthetic fibers.
Choose a roller cover with dense fibers. For fiber length, the rule to remember is the smoother the surface, the shorter the fiber length should be.