You certainly may prohibit tenants from bringing pets into your home, or from smoking in your home. Please do note that by banning pets and smokers you are reducing the potential pool of renters.
We have found that our clients have significant difficulty in finding tenants when prohibiting pets, but we do advise that you require a pet deposit anywhere from $250-500 depending on the size and breed of the pet. Typically 50% of the pet deposit is non-refundable. Another option is to only allow pets under 25-30 lbs.
Please know, if you feel strongly about not having pets, Davis Property Management will respect your instructions and will not lease your property to pet owners.