Bonnie,
I concur with going ahead and quilting the pieced tops. Get them turned into quilts and loved.
I would get them quilted before washing the tops. If the fabrics are fragile, the washing process can be hard on pieced tops. If the tops are quilted, the quilting stabilizes the tops and they can better stand cleaning. You may still have to repair and occasional popped seam - but fewer than if you wash first. At least that it my experience.
Lynn