Hello, I would move the rose bushes when they are dormant and plant them along the three rail fence in front. Then I would plant columnar growing junipers along the lattice fence as close together as possible. They are fast growing and will provide privacy year round without taking up a lot of space.

And i'm sure they're looking too, it's such a nice view!
My guess is that anything you plant will have them looking more, so unless you run around naked or something,lol. I know how you feel, after living in suburbs most of my life, i always thought people were watching every move i made. In reality though, it's only the goofy,unusual or loud stuff that gets their attention. I am in the country now, and in some ways it is worse, because they notice everything when they drive by, if i could only move the road,lol. If you put up something that obscures their view they might take offense at that, but otherwise it's probably just showing off your yard to company that comes over and telling them what wonderful neighbors they have. I think you should be proud of how nice your yard looks and be happy to show it off, I mean you probably just let hundreds of people see it right now!lol. I guess I'm probably no help.

Since it looks like only one window, you might put up an arbor over the fountain and plant a couple of climbers [Crepuscule comes to mind - thornless, fast grower] and let them trail over the arbor and attach them to the fence. Then you could leave the Carefree Wonder roses in place. Perhaps the climbers could block the view from the neighbor's window.
Judith

Let's clarify a little more what kind of privacy you need.

Think about: Do you want to completely screen out the neighboring house, or just the window? Or the open fence area as well, or just the open fence area? Do you just need privacy for your covered patio or for the entire yard?
Do you need privacy just in the summer or year round? And is this area south facing, north facing, or ? The sun exposure is important--you don't want any larger plants such as evergreens shading or otherwise competing with your roses.

Is a lot of plantings going to plunge your neighbor into deep shade? Do you care about that or not? Think also from the neighbor's point of view. Can you come up with a "win-win" design?

Knowing these things would help to give you the most satisfying and long term solution.

Jess:
How old are your Carefree Wonders? Mine are huge (6X6) but in the winter they won't do much for privacy, unless it is your patio you are concerned about.
Good luck!!

Well my Carefree Wonders were 2 years old last year so this year they are on their 3rd year in that location and last year they were getting as high as the lattice by the end of last summer but they seemed to have to be staked in the ground as they started to lean or slip open with any kinda rain. My Knockouts seem to hold themselves up better.. Love the Carefree Wonders flower though.. The Carefree Wonders get morning shade from the fence and afternoon sun. I was looking for more privacy by the patio where the 6 foot fence is. Something that goes to 6 ft is fine.. I might want to carry some of the pink roses down the post and rail end also but more towards the patio I wanted more privacy..We had to move our Susan or Ann Magnolia bush last year so we choose to put it at the end of the simi private fence and are planning to redo the flower bed there to incoporate that bush into the bed and making it alittle wider out...We thought of looking into once of those patio arbor/pagoda things that you can have a patio with chairs under off our now patio in front of the fountain but not sure that will be in this years budget.
As for the neighbors they don't plant much and rarely outside. So privacy 6 foot or so by the fence is best..

If you're simply looking for more privacy for your patio, can you install an outdoor bamboo curtain that can be rolled up or down? Check out HGTV.com; I saw a segment on TV on a patio redo where they did something similar for privacy concerns and it looked very nice.