-I have a 5 drawer cart from Target. It's not quite big enough, but if you are just getting started, you probably wouldn't need something that big. I would go to Target or Walmart and take a look at the storage items, and see if there is something that looks suitable for your needs. Mine has 4 small drawers and 1 big drawer. I put thread in one; aplix, elastic, and other trim/binding in one, patterns in one (definitely need more space for these), other notions like bobbins, needles, etc. in one, and in the large drawer goes all of my unfinished projects. My recent scraps are in a large canvas bag next to my work area (the rest are in a trash bag in dd's room). I thought this would be enough room when I bought it, but I am already outgrowing it. I need something larger.
-My MIL uses a basket, and my mother uses a small suitcase. Neither of them are as in to sewing as I am, so they don't have a ton of notions. It really just depends on what your needs are.