I'd be very, very careful about introducing people to your children, as you will see it can two ways...either a huge resentment will be thrown in your face, or they will become attached which leads to more heartbreak over a breakup. I don't recall who said it over on the divorced thread, but there was a huge discussion about that same thing. For me, I won't introduce anyone to them for years, maybe never unless I remarry.
There are moments in this life when you are so confident in the rightness of your actions, that not even for a second do you consider the option that you might be wrong.