If they were not Texas tickets, as you're choosing not to share relevant information, go consult a lawyer.

Pursuant to 8 CFR Sec 244.1,
Quote Quoting 8 C.F.R. Sec. 244.1. Definitions
Misdemeanor means a crime committed in the United States, either:

(1) Punishable by imprisonment for a term of one year or less, regardless of the term such alien actually served, if any, or

(2) A crime treated as a misdemeanor under the term “felony” of this section.

For purposes of this definition, any crime punishable by imprisonment for a maximum term of five days or less shall not be considered a felony or misdemeanor.
Pursuant to the Texas Penal Code,
Quote Quoting Texas Penal Code, Sec. 12.23. Class C Misdemeanor.
An individual adjudged guilty of a Class C misdemeanor shall be punished by a fine not to exceed $500.
As a Texas Class C misdemeanor can be punished only by the imposition of a fine, it is not treated as misdemeanor for purposes of immigration.

If the subject comes up, you should answer honestly -- that you have traffic convictions that do not constitute misdemeanors under U.S. immigration law. Before doing so, you should review your record to be absolutely sure that you were never charged with a more serious offense.