I don't know "Texas Holdem", but I've played sometimes Poker, of not specified variety.
If you put all of our chips in when betting you could say
"Punto tutto": I bet all my chips.
or more simply "Tutto".
I know it is a bit too slim a translation, but that's what I can tell you right now.
Bye.
P.S.: Other terms of more common use are easily "translatable".