Hello Kestan and welcome.
I think the Chengdu’s Women’s Club is pretty family orientated.
http://www.chengduiwc.org/
As far a I’ve seen families tend to head to Peters Tex Mex in TongZiLin, if you know where that is.
and even though your children aren’t school age, you might try falling in with the families crowd at one of the international schools? I guess if they have school age children they might have younger ones too?
Just ideas, I don’t think many of the people who post on this forum have families, but I could be way wide of the mark.