TexasCHLforum.com

Sounds pretty clear to me. It's OK to have a gun there, just don't go waving it around everywhere.
I read a case law article where an apartment tried to force a no-gun policy on the tennants.
The right to protect oneself was deemed more important than the apartment's liberal bias.
Seems the apartment can't make up it's own laws when you rent, and therefore, control the property in question.