You need a good roller board, with the suit packing piece that clicks or snaps in. You hang your suit and dress shirts in the detachable sleeve, zip them up, and snap that piece into the roller board. I still pull out the iron in the hotel room for a quick 5 minute press, but that's all it takes.
If you are going to be traveling a lot, a good roller board is a must, and will run you $200-$500. Look for large rubber wheels (not hard plastic) and quality stitching. Some of the best come with a lifetime warranty