If I plan to have a birthday party here, is a blow up bounce house (small aged children) nothing huge. Acceptable??

I would give Canton City hall a call to ensure it's okay. Truth be told, even if you didn't, the area is large enough to where you wouldn't be bothering anyone with it. https://www.cantonga.gov/ should direct you in the right place.

It is certainly big enough but I don't know if the park requires some sort of permission.