Hi A.,
It happened to me, too. It took about 6 weeks to close up. The nurse came for a month, then towards the end my husband took over the job of cleaning and bandaging. Ugh. The main thing is to make sure it doesn't get infected. Yours must not be, so that is a good thing.
It's a very hard thing to deal with, considering you have a new baby and two children. And you will have to schedule that nurse's visits each day, and probably doctor visits every week or so. Allow yourself to cry about it, when you have a chance away from the children. Find someone who can listen and not tell you how to "fix it."
Now is the time to really take it easy and take care of yourself. If you can get any help from family or a sitter, do it. Accept help from friends. Don't overexert yourself while you are healing, if you can help it.
As far as how it will look, it's different with everybody I guess. 22 months later, my scar kind of pokes in a bit on that side, and my belly puffs out right above it. I had something similar, but less noticeable, happen with my first C-section (I've had 2). With clothes on, it looks just fine.
Email me if you'd like to talk more.