Clean up the landscaping, take down the walls, clean the brick. Then you can assess trim.

I agree and we need close up pics of the brick too. Post all of that in a comment here do not start another post .Please remove those shutters they do not belong.

IMHO a dark gray/brown on the fascia and door would look better. The white seems a little jarring.

I don't think you can consider shutters on your home because of the space around the windows. Here are some color schemes that work with your lovely white blend brick.

The two ornamental trees in the front have really outgrown their boundaries and will have to be removed. You really can't trim them into a shape that will work.

Here are some close up pictures of the brick

You have a nice house and I like the brick. I would paint the window frames black (they seem to be aluminum) and paint the shutters and trim in white with a black front door. I find that keeping the shutters makes everythng else stand out. Of course you need to work on landscaping and probalby remove those outgrown trees, I suggest you consult a specialist.

A warm white & charcoal gray for the doorl.

I'd pick up one of the darker colors in the brick for the trim. I'd also, if you have a place for them, save some or all of the bricks from the walls. If you ever need to repair your house or put a small addition on, it would be nice to have some spare bricks.