Just saw your question concerning dogs and fences. I've actually had a prior customer end up buying outside of an HOA due to this same concern. This particular family wanted to build an enclosed, six foot fence for their dog to roam. The area they wanted to live in would not allow this practice.
In general, you would need to consult the Architectural Committee within the HOA Community for the answer to this question. Many of the HOA Communities that I list property in will not allow standard six foot, enclosed fences. However, I have seen a few allow a 3-4 foot, open space/iron style, fences. These properties were generally the exception and were approved by the Architectural Review Committee within their HOA.
If I can be of any help to you concerning real estate, feel free to give me a call or email me.