Covering over and encapsulating the lead paint will remove the risk of ingesting the dust from the deteriorating lead paint. This can be easily done by placing the new ceiling material directly over the existing paint with a quality exterior grade latex paint.
If you wish to hire a contractor, to perform the work, make sure they are a Lead Safe Certified Firm by the EPA. Companies holding this certification are trained in the proper methods for renovations where lead paint is found.
For more information:
Read "I am concerned about lead. I know our house has lots of it." a Q&A answered by Cynthia Phakos.