If the doors are exposed to the elements, the most important issue regardless of whether you trim it out with wood, or stucco patch to match the existing, is that it is properly flashed/sealed behind it all before covering it up. I'll be installing a window in a stucco exterior wall in a few days and I asked how the homeowner wanted it finished, they chose to match up the stucco. A trick I've learned since matching the color coat is difficult at best on a project like this for many reasons, is to base coat the color coat,(typically white), and match the texture. Once that has cured/dried, take a piece of the original stucco color coat down and have some acrylic latex exterior paint matched up to the original stucco color and feather it in around the patched area. It's typically not a good idea to paint over traditional stucco concerning large areas, but using acrylic for small patched areas isn't going to hurt. Again the most important aspect of the project being flashing/sealing behind not interrupting the drainage plane

I guess we're willing to accept that we may have imperfections in the smooth ceiling. But like many of you have said, we can always start with smooth, and if down the road we find the lighting shows the imperfections too much, we can texture the ceiling at that time. I couldn't find the Italian swirl texture that gsciencechick mentioned. But I found other swirls that were a bit too 'swirly' for my taste. Thanks to all of you for your feedback. My husband and I have decided that we're going to go with smooth. We may try Carol_from_ny's idea and paint the ceiling a very light shade of the same color we put on the walls. We'll try the idea in one room like a bedroom to see if we like it. If not, then with it being a smooth ceiling, my 6'4" husband can easily paint back over the ceiling with white.

We have a side yard. This satellite image gives you a better idea of the house position. The road to the left of this photo is technically the front of our house, but as you can see, our carport is off of the little alley that ends at our house. That is the only way we can get to our house since the front of the house is a hill.

Instead of replacing the black shutters, you could leave them off entirely and create a trim color a different way: You might consider painting your fascia and gutter and soffit and window frames and door frames a dark color you like and then painting the rest of the siding all one color -- a different, slightly lighter shade of the SAME color rather than inserting white or off white to highlight the height of the windows.