Airbnb has special filters for Family and Business Friendly units. These are units that have in the past hosted these types of guests and have amenities that are prioritized to these guests such as toys, desks, quick internet, etc. Hitting these filter achievements will vastly decrease the competition when potential guests utilize these filters.
As an example, in my home market of Whistler, Canada, there are 3310 vacation rental listings but only 197 that meet the requirements of the Business Friendly unit. It's clear when this filter is being used your ranking and chance of being booked will improve vastly.
To market your property as family friendly make sure to provide great family amenities and feature them in your photos and written description. As an example, check out a property Lifty Life manages at Cultus Lake. This property has been designed to attract families with children as such the amenities include beach gear, toys, baby gates, a crib, a highchair, among other family amenities. Of the upcoming reservations 80% have children under the age of 12.