Those shrubs crepe myrtles?
Got any pics from inside the pool, meaning what do you see when you are in the pool looking around? Distant houses etc?
Stone beds can be annoying. Too small of stone and when you try to clean out dirt/grass chippings/leafs with a blower you end up blowing stone too. I think the grass up to concrete looks nice on the picture you've posted which only shows one side of pool.
Are you finding you want more deck space or something and don't want chairs in the grass?
What is the distance from edge of pool deck to that fence? Is the fence higher elevation than the pool, or is there a valley between pool and fence, or is it flat by pool?