Firstly, anyone you date will have to understand that you come as a package, and that your children are a big part of your life. They don’t have to become a substitute parent (unless you want them to and they agree), but they will have to be comfortable around children and understand that you’ll have to make some sacrifices to put your kids first.
Likewise, if you choose to date someone with kids, you need to be ready for that. Do you want more kids? Do you want younger kids, meaning your house will be filled with kids for longer? Are you willing to merge two families together? And if your new partner wants to have kids with you, is that an option? Think about this early on when dating someone.
To think about your parents dating new people isn’t always easy, so consider that when introducing your children to your dates. If it’s all very casual and you always introduce dates, that can work fine. In fact, it can be preferable to not introducing them at all. Just don’t get the kids heavily involved with someone you’re dating until you know it will last.