Your pics show 2 different pieces of furniture on left side of FP - which is current? If you have the console table & art there it looks like there’s not enough room for a drape to stack back off the window. The drape will obscure or hang right in front of the end of console. Also, whatever plan you make should include the windows in the dining room to the left of the LR because that whole wall of windows can be seen together. Different treatments might look cluttered up. I’d think about shades, mounted inside each window for all of them. For the LR windows with the small top windows, I’d leave those tops without shades - mount them in the large section below. The DR looks like drapery panels could be added in addition to the shades - depends on how close that patio door is to the corner. Those DR windows don’t have the patio cover outside of them so you might need more light control for those windows too. But, the drapes on the DR windows in addition to the shades would ’dress up’ those windows. The shade treatment on all the windows unifies the look.

Assume “thinking of two curtains” means sheers? Do you need privacy? Looks like a road parallel to the windows? If so, you could do stationary panels only at the ends (but need to be substantial width or will look skimpy) or also add single panels in between. If sheers, you may want to have the sheers on rods with “rope” pulls (hidden under panels) so you can open if you want to. I’m not sure if sheers might look a little formal with your decor, though…
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I would go with panel curtains with color from your rug and wall art.

I’d do multiple panels because I have Gladys Kravitz tendencies and like to peep out my windows. That’s hard to do if you have one giant panel. 👀