Originally Posted by
starflyergold
If this is one one ticket the TK rules apply.
TK rules will apply as stated, but assume you might have to be firm with an check in agent at either TLV or IAH. If TLV will check it all the way to AUS then it won't be an issue as you can just drop your checked luggage after clearing customs in IAH. If TLV only checks it through to IAH then you'll likely have to be firm with someone at United who will want to try and charge you for bags initially.