Final answer:
To meet in Houston, the Senate would need to obtain consent from the House of Representatives, as moving proceedings requires agreement from both chambers. Additionally, considering Washington, D.C. is the designated national capital, changing the meeting location might require legislation.
Step-by-step explanation:
If the Senate wishes to meet in Houston instead of Washington, D.C., they would need to follow specific procedural requirements. According to constitutional provisions and congressional rules, both the Senate and the House of Representatives are bound to certain locations unless both chambers agree to change the location. The decision to move the proceedings from their usual location for more than three days cannot occur without the consent of the other chamber. Therefore, for the Senate to meet in Houston legitimately, they would need to obtain the consent of the House of Representatives.
Furthermore, the Constitution's Section 8 Clause 17 grants Congress the power to establish the national capital outside the jurisdiction of any state, which they did when they selected the area now known as Washington, D.C. Any change to the location where Congress meets would likely require not only inter-chamber agreement but also potentially additional legislation to temporarily alter the designation of the national capital, as the national capital is where Congress is expected to meet.