Your pet restrictions would be in the CCRs (Deed Restrictions) for property. You would also have to follow the Pima County pet restrictions. Most neighborhoods in Green Valley this would not be a problem.
If I can be of any help, let me know.
Please note that although most people think that CC&Rs exist only for communities with HOA, they usually also exist for non-HOA communities. The original developer more than likely created and recorded CC&Rs for the community.
Your REALTOR can help you find those documents and research about pet restrictions. Besides size and quantity, they may restrict the breed of the dogs.
So the above applies if you are buying a home. If you are renting, then the landlord is the one that will tell you about any restrictions he may have on pets. The landlord still has to abide by the community's CC&Rs, but he can put additional restrictions in place for his renters.
I hope this helps.
Jose Dias, REALTOR
Realty One Scottsdale