I am flying from DFW to Chicago on US Airways, and then from Chicago to Warsaw on LOT, and then Warsaw to Gdańsk on LOT.
check with each airline. Those are the people you should ask.
Another reason I ask about the luggage is so I will know if I have to take some small bottles of shampoo, body wash, ect with me on my carry on bag.
there are restriction on the size of liquids for your carry on bag-check with airlines, otherwise you might end up without the body wash in Warsaw;)