If you can get a screen door in natural wood, that would be fantastic. Otherwise, a full front storm in white would work.

I would get a retractable screen door. We installed two of them and we love them. it's nice to only have it closed when we want the breeze, otherwise it stays open and out of sight.

Get a phantom screen as mentioned above or a very simple wood screen to match the door.

Pretty door! Agreed, I am exploring a door choice similar to yours and would only do a full view storm and screen. The downside is you need to swap it out seasonally and find a place to store the other panel, but it's pretty unobtrusive in a coat closet or something.

Installing a screen door is very easy IF you take the time to learn about how to properly measure the opening before you order, and how to install it well. If picking up a level, or squaring corners, or using shims and center punches are all new to you, maybe pass.

However, if you have to hire it installed you won't make it out for $400. That will be the minimum cost just for a decent door, but it is better to save your money some more and have the door installed correctly than do it yourself if you aren't confident.