You may have room to inside mounted cellular shades. Just be sure that bracket mounting shades clear the casement screens AND let you pop out screen for cleaning of window. This method is more energy efficient.

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Hunter Douglas, Bali, Levelor are all dependable brands. I recommend you bring the sample books home to see their samples in your lighting. If you watch for sales, you can save during sales at Lowes Home Improvement and Home Depot. Specialty stores should have sales, too.

On line, if there are issues, it will be harder to resolve than if you patronize a brick and mortar store (where available).

Your home is beautiful!! I would go with fabric roman shades. You need to be able to operate your windows, and the fabric will add warmth to your rooms.