You simply cannot have checked bags. If you're traveling for less than a week and don't need large liquids, this is usually pretty easy to do. You can have a wheely carry-on and a backpack as your personal item, which gives you a ton of storage. I don't need checked bags for the vast majority of travel I do and prefer to avoid it by all means possible, as it just slows me down and has the potential for the airline to lose my bag.

Yes, even if your aren't skip lagging it's really easy to travel without checking a bag. 40L backpacks fit five days of clothes and toiletries while still meeting most airline carry on requirements.