It all depends on what you want to achieve. If you want to have an open house and have all kinds of strangers, their parents, pet dogs cats and new spiders from the local pet shop crawling all over your new carpet, then just carry on as you are. It might make it easier if you got door keys cut so that people could let themselves into your house at odd times of the day and night too.
But, on the other hand...
If what you want is a relationship where you and your child are treated equally and provided for equally, then my suggestion would be this....
Slow down. Work out what you want. Is it parents who speak nicely? Those who decorate their homes nicely? Those who read nicely to their children? - Or whatever...
Choose one or two parents who fit your idea of what you are looking for within the group of children your child gets on with. It's about making friends as an adult, but just doing it though your children. It's a bit odd to begin with. But you get used to it.
Then you do an activity together, usually a play date or a visit to a local attraction. And the next time the other parent(s) make the arrangement(s) and invite you. There's no prescribed routine for who does what (not like buying rounds in an English pub. If you haven't been introduced to that ritual yet, ask an English person how that works.) But the basic idea of play dates and outings is that parents who share the same ideas about what they want, also share the effort of providing it, (more or less equally.) It's not scientific. But it should work out sort of equal.
I hope that essay helps!