I have plenty of friends with young kids that are super social. They invite people over, take their kids to restaurants and invite people to come, go to picniqs, festivals, and other things. We love their kids (or at least all the people that show up do).
You and your love for and acceptance of their kids and willingness to show up to family-friendly activities are very likely the key to their ability to do this.
You have the agency to make it happen.