I usually like to do curvy quilting with straight designs. Remember you don't have to follow the lines of the design unless that is what you want to do.
Another way to quilt this pretty simply would be to stitch in the ditch. That means when you get it all layered and pinned together, you put a walking foot on and simply stitch in the ditch of the seams all down one seam in the middle and then reverse the direction fo rthe next seam going back up the other. This keeps it from getting too wonky making the seams all one way.
I bet there is a book on basic quilting in your library you could check out.