With your decorative moldings, you should switch to inside mounted shades. Can be in fabric or fiber if you're looking for more softness.

Yes I would definitely use inside mounted shades. Not sure if I should have a drape on the window on the left. Or what to put on the door and bay window.

You don't have the wall space for properly hung drapes in either space as far as I can tell. Dress the door with the same shade as the windows. You might consider injecting some of the colors from the stained glass panel as you accessorize.

I agree. There isn’t much space due to the fireplace.

Just a few ideas...

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I would fix the curtain rod at about the same height of the top of the mantel. I would make sure to have a rod wide enough to push the drapes out of the doorway when needed. That would allow the same window treatement on both sides of the fireplace.

These images all show French doors but I think this concept also works with single doors.

ETA :

There simply isn't room to do drapes as tira_misu shows, and they'll cover the light switches and be constantly getting caught in the door. They'll also cover your pretty trim.

I definitely don’t want to constantly move the drapes every time I open the door. Should I use the same technique into the kitchen also. Or maybe something a little different?