Consider whether you can realistically handle this family dynamic -- if a mate invited you over to meet his kids, would you feel comfortable?You should also consider how you would handle rejection from a potential partner's kids.
This establishes an imbalance of power within your relationship, and can cause relationship turmoil.
If you and your older partner begin a long-term, committed relationship, starting a family will be an important consideration.
It's important to determine if you and an older beau are compatible with one another on an experiential level -- frustrations may arise if you and your mate can't relate to one another's cultural references, or if your partner treats you more like a student than an equal romantic partner, due to his vast life experience.
If there is a significant age difference between you and potential partners -- about 20 years or so -- then it's possible these older men have children that are close to you in age.
Despite your age differences, you and potential partners are consenting adults who each deserve to be treated as such.