I'm so glad to read this. Not just for you, but also for my husband. If something happens to me, I want him to find someone to grow old with, someone to love him, take care of him, be a good mom to my kids.
He gets mad when I tell him that though, so I stopped.
My wife used to ask me (typical question for married couples really) if I would wind up remarrying if something happened to her. I used to jokingly answer something to effect of "why would I want to make the same mistake twice". In reality I'd loved her -- though she used to ask my children just what it was in her that made me do that and not want to let her go -- and couldn't see myself with someone else in the future.
Life had other plans though, and I found myself wondering if I really wanted to be alone or wouldn't I prefer to have someone to share life's great experiences with. Over the last several months I've found that I much prefer the second of those choices.
In terms of finding someone new to be a mom to my children, or finding someone that I could help be a parent with, in that area I admit to perhaps different thoughts. My children are now mostly grown so I don't face that choice, but if I were to have been in the same basic situation when they were younger, I probably would have been concentrating on them first, and wouldn't have put much thought into another relationship until they were more ready to be on their own. When I first put a profile on Match.com I noted that I wasn't looking for a new mom for my children as they were nearly ready to fly the nest. While a great partner should be able to help parent my children, I don't know how easily I could accept someone else doing that job even in doing it with me. With the right person, I'm sure it would all work out, and I'd like to think that my ladyfriend is such a person and I could be such a person for her children, but I know that parenting other people's children is not an easy situation at all.