An HOA can enforce pet limits in the community. Your HOA dog rules can have limitations on breed, the number of pets, and maximum size or weight.
Duties and powers of an HOA's board, granted under the TPC and the community's declaration, include enforcing covenants, adopting budgets, assessing and collecting member fees, appointing of agents to act on the association's behalf, maintaining of commons areas, and acting on behalf of the association in legal matters ...
You can see which states do and do not have any laws against owning a certain breed of dog here. As far as the lone star state goes, there isn't any law against any breed. In fact there is a law on the books in Texas that actually prevents any such law from being put into effect.
In Texas, it's illegal to ban specific dog breeds.
An HOA can enforce pet limits in the community. Your HOA dog rules can have limitations on breed, the number of pets, and maximum size or weight. For example, if the community is comprised of families with a lot of young children, you might want to prohibit dangerous dog breeds, such as pit bulls and rottweilers.
The remaining states allow a household to own one to six dogs. Some states set a limit for all pets in the household, so other animals would be included in this number. California allows a household to own more that the limit of four dogs if they apply for a kennel permit.
What are unenforceable HOA rules? Keep you out of court. Hush up litigation. Discriminate indiscriminately. Enter your home without cause or notice. String you out on the (clothes)line. Fine you for fun. Change rules on the fly. Demand you take down your dish.
Typically, a condo association can't deny a service dog access to the property where all the legal requirements have been met. The COA can't ask a person with a disability accompanied by a service animal to provide documentation about their disability or request to instruct the animal to demonstrate its work.
If a property owners' association violates a provision of the Texas Residential Property Owners Protection Act, the property owner may sue the association in a Justice of the Peace court. Civil lawsuits can generally be filed in district courts as well, but the process tends to be more complex.
Texas law places limits on HOA power, including restrictions on their ability to prohibit certain types of construction like solar panels and rules against unreasonable fines or foreclosure practices. The exact limitations are outlined in state statutes, which are intended to protect homeowners' rights.