Doesn't appear to be enough space to do an inside mount there. Keep in mind that an inside mount will fall directly on the handles as well.

I don’t know what you mean by “they bump out 6 inches” so that is hard to address, but as the other person said it doesn’t look like you have enough room for inside mount Roman shades or blinds, but you’d have to measure based on what you are looking at as that can vary. Also, since these are casement windows (I think that’s the term) if you use any kind of shade, whether inside or outside mount, pulling them fully down will block the cranks, which you may or may not like. As for curtains/drapes, I think that might be the easiest option given the window style - but it’s also up to you and what you like. Since the light in the DR/LR is not an issue, the sky is pretty much the limit on curtain rods and curtains, you just have to find a style/color that you like and that suits the room/house. For the bedroom(s) they make wraparound curtain rods that will block light from the sides, so when paired with blackout drapes, it’s a great solution for blocking light in sleeping areas. An example: https://www.amazon.com/Umbra-Twilight-Room-Darkening-Curtain/dp/B00FB6NADW

If you look around the window the wall bumps out 6 inches. So it’s almost like a box bay window. But not really. It’s just awkward. And you guys are right. I checked and inside mount will not work with the screens installed.

iamtiramisu- I should have included a photo of the bedroom windows in the original post. It’s configuration is a bit more awkward. So the new blinds or shades will mount outside the window all the way at the top just like the existing. So would drapes mount above on the wall and fall outside the bump out or mount inside above the window and take to the far edge?

The window itself is bad [can't have anything inside mount] but the new pictures show exactly how big of a problem you have. Have a pro designer come in and look it over, when you get their opinion, invite another. You need some help.

Quick mock up showing theoretical/drawn curtain rod to show what I mean

iamtiramisu- that’s what I was leaning towards, but worried it would look weird mounted up on the wall like that. I saw some nice sheer shades at a model home a few months ago that I like. I’m not sure if I should layer curtains over shades like that or wood blinds. There are so many choices in type and color.

I don’t think it would look weird at all, but it’s your home so you have to like it. A couple of examples from a quick google image search may help convince you that it wouldn’t be weird:

With shutters

Some of those photos fit what I’m going for. I may have to bring a company in as suggested. Maybe will help me to visualize it better. Thank you!