Not many people enjoy the experience of holding a full bag, and you are not always near a rubbish bin. The ezeleash has a well designed hook on the underside of the handle that allows you to easily attach a full bag for transport.
If you tie a knot in the top of the bag and slip it into the hook, it will stay there securely until you are able to dispose of it. Unless it is a very cold morning, you will find this a more pleasant experience than holding the bag. If you hold the lead in your left hand, placing the knot on the right side of the hook will keep the bag's contents as far away from you as possible. Reverse this if you are right handed.