Be considerate of her time by making arrangements for dates in advance and doing your part to stay within her schedule.
She may be fine with dating you a few times and never seeing you again, but children can form an attachment super fast.
After several dates, it's okay to bring up the idea, but ultimately the decision is hers.
Let her decide when she is ready to bring you into her children's lives.
There is no schedule for the unexpected surprises that come along with being a parent.
Situations like having a suddenly sick child or receiving calls from daycare because a little one needs a change of clothes will take precedence.