Wow! I wasn't expecting this kind of response.

Thanks! Here's the answer to some of the questions (that I can answer).
I am making a rag quilt where all edges are cut, frayed and exposed. It gives it a sort of shabby chic look that I really like.
The top is 100% cotton 6" squares that I am placing in a diagonal pattern. They are made of varying patterns that coordinate..stripes, flowers, solids. The colors are bright pink, lime green and soft yellow. It's hard to describe, but it really looks beautiful.
The batting I bought for the middle of each square 'sandwich' is the cheap quilt batting at Walmart. (Probably a mistake, but I spent the money I saved there on a little bit better rotary cutter.)
I have a basic Singer (simple ?)sewing machine and I am using the regular foot. I have no idea what kind that is, but it's probably not the one mentioned on here. I need to research that online and find out how to get one of those. Thanks for the advice about the close stitches.
I also read that I shouldn't backstitch when quilting, so I am learning about that as well.
I found a really pretty bright pink flannel with white dots to use as the back. I think it's going to work great!

I will save the fleece for another (different type) of project.
Thanks!!