Verlie,
I think your second Kaleidoscope quilt looks great, even before you changed it.
Since your quilts are square, you don't NEED to use bias strips for the binding, and since you say this is going to hang in your studio, it won't wear. So using binding cut on grain will work just as well.
I have always had a hard time with the binding on my quilts, and it is something I need to practice more. I don't like the look of purchased bias, they don't always have colors to match my quilts, so I would rather make it than purchase it. But I'm sure what ever you do to finish your quilt, it will look great.
Diane in Colorado Springs