When I was dating I heard that 6 months was about the right time to introduce kids and only if it was a committed R. The kids have had enough going on in their lives.
I was dating a guy from this bb about the 2 year mark for me. He had kids and so did I. We had talked about the 6 month thing and he also agreed - no one was to meet his kids unless it was serious. He brought his kids to meet me at the 4 month mark so I was pretty certain we were getting serious. And a month later he dumped me in a text. That's hard on the kids I think. It was sure hard on me.
Take it easy. Take it slow. ESPECIALLY with a twice divorced woman who "thinks she is falling for you". Make sure you are getting clear about YOUR feelings, not falling victim to the feel goods she is sending you.
We've all been there. We need that reassurance that we are loveable so badly that we can easily succumb. So be careful out there.