A tote is a bag or basket used to carry things. Toting also refers to lugging things around.
If you ever go to a conference, there's a good chance you might be given a tote, which is also known as a tote bag. Totes help people carry around conference materials, and they can be used to carry all sorts of things, including clothes for a trip or groceries at the store. Also, carrying things around is called toting. Usually, toting refers to carrying things around with difficulty. A giant box is hard to tote around.