Sun City West has a community dog park with separate sections for small and large dogs. Very nice indeed.
Neighboring City of Surprise also has a nearby large dog park also sectioned off for smaller and larger dogs. That park is closed on Wednesdays. There are some of the so-called "condo associations" that govern smaller HOAs, typically consisting of partio style, apartment style or duplex (Gemini Twin Homes) homes that may restrict occupants as to the number and size of pets they may have. A few of these small HOAs may not allow pets of any kind but that is the exception and not the rule.
Asd a note of caution, It should be noted to owners of small pets that the Sun Cites and surrounding areas have coyotes living in the communites, typically in and around golf courses. They are a danger to small domesticated animals as are some of the hawks that live here in the area. Overall, this area is great to have and enjoy pets.