The brick is beautiful. I wouldnt even think about ever painting that. I would pick a color from the brick, that is a bit darker for the peaks, and the garage doors, and other painted areas. Make sure the color you pick, goes with the roofing color. I cant tell by your picture, what color your roof is.

You could do a warm olive on the peaks and/or trim. I find the existing trim is a poor match for the brick. A warm-taupish gray might work, too. It's hard to see the brick, since the pic is from so far away.

The light siding I like (it could be a tad creamier), but the trim and the garage doors could use a "wow".

Inspiration:

I can't tell if there are muntins in the windows. But you do have some important trim...show it off. A green would look lovely with the surrounding landscaping and the driveway will work with the green doors. I am so excited I found this photo for you. And, here is my computer guess at the colors used:

Thank you! Here’s a different picture. Currently, it’s much peachier than in these photos. Do you think the vertical trim pieces would do anything for the overall esthetic?

No, the vertical pieces would just make it look too busy.