First you need to define what partial birth abortion is, exactly. However, I would ban any third trimester abortion, that is not "authorized" by a court order, obtainable only by a finding of the court that absent it, the physical (not mental) health of the mother would be endangered (a term that would need to be carefully defined), or it is a medical emergency, and there is no time for a court order.
I agree with everything said here and I find the term "partial-birth abortion" to be moronic. Anyone who is a part of non-hysterical political discourse shouldn't use it and be more specific as to what procedures they are for and against without resorting to a blanket term that could potentially describe a wide range of abortions.