There is a way to cut cotton fabric into strips so that it is on the diagonal (bias), this makes it stretchier. So if you're going to bind something, you don't want to use strips that you cut length- or cross-wise. If you google "bind a quilt" you should come up with a better explanation. Or something really wierd and kinky.
If you don't know how to sew at all, I think this is a pretty big bite to chew. And if you don't have a machine, handsewing would be a monstrous task. But maybe your mom would sew it for you?