Finding the right lawyer after a nightmare like this one can be very difficult, so I am glad to answer that part of the question for you.
I think the only lawyers you should talk to are ones who handle a lot of medical malpractice. These cases are harder here in Texas than just about anywhere else. If you don't have a very experienced one on your side, you are at a huge disadvantage.
The two issues would almost certainly be handled together in one claim.
Personally, I'd start my search by speaking to Dallas med-mal attorneys, as I think they'll be better positioned to accept the case.
Marc C. Lenahan
An attorney who specializes in medical malpractice would be best able to assist you in evaluating any claims you might have against the health care providers. The claims against both hospitals can probably be handled in the same lawsuit.
I wish you the best in finding an attorney who can assist you in this difficult time.
This response is for informational purposes only and is not, nor is it intended to be legal advice. No attorney-client relationship is created by this answer. An attorney-client relationship may only be created by written agreement of the parties. This information is not a substitute for seeking legal counsel from an attorney with whom you have an atttorney client relationship along with all the privileges that relationship provides.