If he has abandoned the premises, you have the opportunity to remove his belongings under Texas Code Sec.92.0081(b)(2). If not, then not.
It is helpful to define "abandonment" in your rental agreement, to reduce the chance that you can be successfully sued if you take action against a tenant who by most appearances has moved out. That 36" CRT that looks like garbage? I wouldn't put it past a tenant to claim that it's a $million antique.

