I have an old Sizzix. A Sizzix is a die cutting machine. It can cut fabric as well as paper.
A Cricut is a machine that cuts the paper out, kind of like a computer in that you put a module in and have a tremendous selection in each module. You can change sizes of anything, alphabets, pics of birds,or what ever.
I am not familiar with the baby go.
With a Sizzix you have to buy each of the dies indiviually, they can't change sizes. But they can cut more than one piece of paper at a time. If you are looking to scrapbook the Cricut seems to have more bang for the buck.