I don't know much about actual events or petitions or the like, but you can definitely help convince your two senators to support this bill.
Hutchison was tepidly for it... though I think she may have just wanted to neuter the bill by amending it so we can never, ever become citizens and only have a renewable (perhaps temporary visa).
Cornyn used to be for it, but then flip-flopped like a coward--the opposite of a tough cowboy he tries to portray himself to be.
They may pay a tiny bit more attention to you since you are a Texan--flood them with calls, faxes, e-mails, and regular mailings.
Hutchison, Kay Bailey - (R - TX)
284 RUSSELL SENATE OFFICE BUILDING
WASHINGTON DC 20510
(202) 224-5922
Cornyn, John - (R - TX)
517 HART SENATE OFFICE BUILDING
WASHINGTON DC 20510
(202) 224-2934
Also, contact your local news stations, newspapers, etc. and ask them to cover this important bill.