Tex. Prop. Code § 24.007
A final judgment of a county court in an eviction suit may not be appealed on the issue of possession unless the premises in question are being used for residential purposes only. A judgment of a county court may not under any circumstances be stayed pending appeal unless, within 10 days of the signing of the judgment, the appellant files a supersedeas bond in an amount set by the county court. In setting the supersedeas bond the county court shall provide protection for the appellee to the same extent as in any other appeal, taking into consideration the value of rents likely to accrue during appeal, damages which may occur as a result of the stay during appeal, and other damages or amounts as the court may deem appropriate.
Tex. Prop. Code § 24.007