Leave the foliage and stems on the tulip bulbs, of both species and hybrid varieties, after they have bloomed. Leaving the foliage and stems to ripen, turn brown and shrivel up feeds the bulbs for next year's tulip flowers.
Plant hybrid tulips 5 inches or more away from perennials such as yarrow, sedum spectabile or day lilies. As these plants leaf out they will grow up, arching over the unsightly, dying tulip foliage, hiding it from view. Species tulips are smaller, lower growing plants, requiring hot sunshine to fully ripen their bulbs. Grow them near edelweiss, alpine gentians and other low growing perennials that won't cover them up, so the bulbs can get the baking they need.
Cut off dead tulip foliage and stems after they have turned completely brown, tossing it onto the compost pile.