I am only guessing on this one so please don't take this as gospel:
I assume that your bags will only make it to DME and you will have to recheck them (more on that next) but the IAH agent should be able to tell you for sure.
I would follow the signs to the transfer desk but be sure they know that you have bags and see what they say. They may have something in place to pull your bags and allow you to recheck them or they may have to do it for you. Being that you won't be able to get to the normal baggage claim area since it is after customs.