I much prefer decks to concrete patios is there a way to build a deck maybe some pictures of the space would help. The BBQ should be as close as possible to the kitchen so maybe a bit of explanation about where the house os in relation to the patio.

Here is the photo to match the view in the first rendering.

This is facing the garage and backyard.

Both views show the physical problem with the concrete. The trip hazard entering the garage gets worse as the concrete slab sinks and adds to the stress cracking on the patio.

The grill is down the steps from the kitchen doors, though we typically reach it through the family room French doors. I think it is properly placed in its alcove. The bed along the right is a mix of pots and perennials (boxwoods, butterfly bushes, and honeysuckles.) The space gets hot sun. We are tired of the boxwoods and would be happy to ditch the whole bed when replacing the patio material. The fire table had promise. Unfortunately any wind blows the flames onto any drinks or plates set on the table top. Any replacement fire feature and/or table combo needs to solve the wind problem.

Patricia, I annotated the floor plan to show where the interior rooms lie.

The grill is plumbed to house gas, so moving it would be tough.

My kids would prefer a pit sofa. Getting rid of the bed might free up enough space to do that (plus ditch two of the chairs, and swap the round table for rectangular.)

Matt, I hate to be a Negative Nancy, but if you have sinking driveway slabs....you may need to do new concrete first. Check out the drainage from the roof, etc. to see if you've got an unwanted water feature somewhere.

Any other material you may use on the patio (and stone would certainly be pretty) is going to need a solid subsurface. Yes, concrete. You'd probably need to demo the existing concrete before doing an overlay due to its instability and the fact that the drop from the doors to the patio is not very high.

One concrete treatment that is common is washed aggregate. We did our driveway in this, and had the concrete tinted so it wasn't just gray with rocks poking out. And no, we did not tint it green. There is also no requirement that you do expansion joints in strictly rectangular fashion. We did a random pattern of curves instead, so you could make it look more designish (the new word I just made up) by using that sort of technique.

As far as features go, give the kids what they want. They won't be there forever. You can do what you want later. :)