Wait until the threat of frost has passed, plus one to two weeks. Frost damage does not always immediately appear on a bird-of-paradise plant. When warmer temperatures return, the total extent of the frost damage will become apparent.
Cut off all frost damaged leaves and stems from the bird-of-paradise. Use sharp pruners or loppers to cut the dead and damaged stems and leaves as close to the base of the plant as possible.
Watch for new growth to appear from the base of the bird-of-paradise plant. New leaf shoots should appear by the end of May. If no new growth is apparent by the end of May or beginning of June, the bird-of-paradise roots are probably damaged. You may wish to dig up and remove the dead base and roots and plant a new bird-of-paradise in its place.