If you've been bitten by a dog in Texas, there are a few factors that could impact the strength of your personal injury case:

1. Liability: In Texas, dog owners are typically liable for their pet's actions, including bites, if the victim was not trespassing or provoking the animal at the time of the attack. If you can prove that the dog has bitten someone before, then you will have a strong case for liability against the owner of the dog.

2. Injuries: The severity of your injuries will play a role in the value of your personal injury case. If you've suffered significant harm, you're likely to have a stronger case.

3. Insurance coverage: If the dog owner has insurance, that could potentially cover your damages. In Texas, however, some insurance policies may exclude coverage for dog bites.

4. Evidence: It's important to gather as much evidence as possible after the incident. This might include photos of the injury, witness statements, and any medical records related to the bite. Neighbors of the owner can be good sources of information. If the dog has bitten someone before, or has an aggressive tendency, a neighbor is likely to have observed it.

5. Statute of limitations: In Texas, you generally have two years from the date of the injury to file a personal injury lawsuit.

It's also important to note that personal injury cases can be complex and often require the assistance of a knowledgeable attorney. An attorney can help you understand your legal rights and options, and can represent you in negotiations with the insurance company or in court, if necessary.