Congratulations on your addition to the family and while I congratulate you I wanted to let you know that I've had two C-Sections. I was told that they will dissolve on their own and the steri-strips that cover them will need to be kept dry as possible. When you take a shower (NOT a bath - too much soaking time) make sure that you dry them thoroughly (maybe dry them with low heat from hair dryer) as to not cause an infection as the lady before me. My doctor also said that I needed to monitor my incision as well to make sure that everything is closed up properly. If you have any questions you need to call your OB to get more details.
I don't scar very well and now my incision looks like a silk worm forgot where it belonged and rested on my abdomen! The things women go through that men don't! Take care of yourself and your new baby!