A: Texas has no requirement for an operating agreement. However, I generally advise all LLCs to have one. If nothing else, it assists as part of the "paper trail" in proving that the LLC was a separate entity from the sole member and helps to maintain liability protection.
A: Unfortunately, this requires the standard lawyer answer of "it depends." However, at face value it appears you would need to file a general warranty deed conveying the property from whoever you want "OFF" of the deed to you.