I think I have it sorted. I have never quilted before so all this is new. Using the nice and clear tutorial from Canoe Ridge Creations by my side, I managed to bind the edge of the dolls quilt.
I love how you can't find the join of the two ends back, and it just looks like a binding join. Apart from a few fine tweekings, and handstitching (I machine stitched this one) the back of the binding, I am ready and comfortable to face the binding for the bedspread quilts - when the time comes. Back to stitching those squares.