Target is out, lest you meet someone and it goes terribly and then you run into them again. Relationship-building is a natural process and there's no set timeline for when you should or shouldn't meet a romantic partner's children. Obviously, not every person you date is worthy of meeting your kids.
The most important being: You have to know who you are, have self-confidence, and not let the pettiness of it get to you. I also said I would never try online dating. A couple of horrible, but worthwhile evenings out that made for hilarious stories and life lessons. Let her share photos, stories, and anything regarding her life with them at her own pace.