So we are basically minimizing the amount of grass as it will not grow well in that those spots. We have been trying for years. And plants add some nice color. Also will add a “block” to keep toddlers on patio (hopefully).

At the edge of the photo on left there is an air conditioner unit as well that does need some sort of concealing.

Also trying to teach the dogs to “go” offf the patio

Between the air conditioner and patio is virtually no space ... certainly not enough for planting. Probably not enough for creating a panel barrier and still allowing for air flow. AC's have a minimum amount of unobstructed space that they require.

If you want color or other interest, why would you not be putting it in the view, rather than as a "curb" around the patio. If grass doesn't grow well, you need to know why, as it will likely affect other plants, as well.

If you want to keep toddlers in, plant the low growing azaleas or similar. But keep in mind, it probably won't help for enjoying the rest of the back yard. Your organizational scheme does not seem well thought out. With such a lack of information, our hands are tied insofar as helping you (we can't see the view or surroundings.)

I’m not sure what information your lacking...or id try to provide.
The grass won’t grow Bc it’s being trampled by dogs. Dogs will walk on mulch between plants which should help on dead grass everywhere.

The air conditioning we are buying a “fence” to surround it and I was just going to plant little annuals.

Danielle, I "get" it. Sometimes Yardvaark can be a "my way or forget it" or he can be wonderfully accommodating.

Yes, this is one of those applications where evergreen shrubs are the best choice. Azaleas might be perfect, but depending on where you are in Virginia, there will be plenty of other options.

Thanks that is kinda what I was thinking that it had to be more every green shrubs. I drew a “design” (kinda) that had three peonies but I can try to stick with just azeala

I see a tree in a circular bed top left. I'd incorporate that into your patio border. Apart from looking fussy stuck there by itself it would be a nightmare to mow round and keep edged. Also, are people going to be happy walking off the side of the patio and not directly off the front? As they get older, you might find the kids just charging straight out through the shrubbery rather than turning right .

"I’m not sure what information your lacking...or id try to provide." The basic information needed would be a view from where the house joins the patio, looking outward. And then, step some distance from the patio and show what it looks like, (looking back toward the house. Include surroundings in each view.

If the area is "scorching" hot sun all day, I doubt azaleas will be happy there.

Perhaps my toddler was a bit hyper but a row of azaleas would not have contained her. And kids don't stay little for long. Design the landscape that you will want in five years 'cuz it takes that long for teeny transplants to fill in. If the dogs are killing the grass, they need a fenced run plus more leash walking. You will need thick, clean grass to create a play space for your children. You need to think long term.

You don't have to plant anything!! What you choose to include in your garden is entirely up to you and to Mother Nature (with respect to how well it may do in your area).

As to whether or not azaleas might thrive seems to be up for some debate. And there is not enough of the back garden viewable via that single photo to make reasonable suggestions regarding selection and placement of other choices.

Since you seem to have a collection of circumstances that limit how this should be handled (small space, heat, dogs, small kids) and you admit to being not well-versed in the design process, have you considered hiring a designer to give you a hand?