The best way is something that stops the sun before it hits the glass. Depending on how it would look with your architecture, maybe custom Sunsetter type awnings or shade sails? The awnings can be motorized and programmed to open and close as needed.

Shade sails could stay up only for the time of year the extra protection is needed.

We had a west facing sunroom on our last home, and after trying numerous interior window treatments, we had awnings installed. The only thing that really worked.

Outside your windows, it looks like you have a lot of concrete, which absorbs and radiates heat, compounding your problem. You might consult a landscape architect about going to something greener, like a fish pond and creeping thyme lawn.

We have a 1956 MCM ranch it faces south but we have those awesome overhangs that are so great at helping control the heat gain during the summer I use solar shades on the bedrooms though to make sure they stay asa cool as possible and I have one west facing window in the corner in my LR that I us a solar shade on . I use 10% in a dark color so either charcoal or bronnze depends on your decor and that dark color allows a mucg better view that a light color.You can get custom ones and also mororized the custom ones I usually do in the transom type windows and then rollers for the rest you could even try them on the exterior to get even better benefit

Window film first. It is absolutely the best-looking, highest-performance, and cost-effective solution with odd-shaped windows. I'm guessing about $1000 - $1500 to cover everything I see in your pic depending on the film you choose.

Thank you, everyone. It appears the window film would void the warranty on our new windows, so I'm looking at very low-profile solar blinds for the exterior of the windows. Does anyone have experience with the automation for blinds? It would be great if they could be set to lower and raise automatically, especially if there's some way to have that linked to a thermostat.

Eastman Chemical, manufacturer of the Vista and LLumar brands of window film has a Gold Warranty option that will "match the duration, terms, and conditions of an active manufacturer’s glass warranty after window film is installed."

Window film gets a bad rap based on no scientific evidence of accelerated seal failure. Don't limit your options.

eastman gold warranty

I have exterior roller shades on the outside of my sliding glass doors. They keep the heat from coming in because they are on the exterior. They are motorized but not on a thermostat. I love them.

Window treatments with insulated fabric and/or reflective lining can help reduce heat gain inside your home. Depending upon which direction your windows face, you want to protect your flooring, furniture and fabrics from too much sun and heat exposure. There are windows and sliding doors which have special sunguard material between the panes of glass.