My personal take on this:
1) It is more complicated and risky for women to have their "tubes tied" than for a man to have a vasectomy. It is major surgery for women, and out-patient for men.
2) This sounds horrible, but the worst-case scenario is worth considering, here. What if your newborn dies of SIDS, or something happens to your infant? You may not want your tubes tied if there was such a tragedy, and you and your husband wanted more children. That is my compelling reason to wait and not have tubes tied during a C-section.