Recommendations, please, regarding ordering eyeglasses on-line?

In short, don't do it. At least don't order the progressives online. A great deal of how well they work will depend on how high in the frame the progression starts. someone with some experience needs to measure this with the frame you will be wearing on your face. Progressive lenses have been evolving for the last 30 years. New designs work better than old designs. Old designs are available at bargain prices. Find an optical shop or optometry office that will take the time to explain your options and get your glasses there.