There are no Senators in the House. Senators are elected to the US Senate while Representatives are elected to the US House of Representatives. Senators serve terms of six years while Representatives serve 2 year terms.
On 2010 Texas elections 16 State senators will be elected for a 4 year term and no US Senators this year Texas US Senators will be elected on 2012. The seat left by Kay Bailey Hutchison will be appointed by the Governor
They are elected by popular vote within their state each 6 years. US Senators have been elected by direct popular vote in their respective states since 1913, with the ratification of the 17th Amendment.