To keep the maintenance low on the patio, install a double-dwarf fescue sod. This variety grows slower than others so it doesn't need to be mowed as frequently.
To install, fill the open boxes halfway up with soil and unroll the sod right on top (Image 1). Use a sod knife to cut off the excess so it fits into the square (Image 2). Push the sod into the soil below so it makes contact. Water the sod often until it's established and wait to mow it until it doesn't pull up when you tug at it.
To blend this patio in with the landscape, install the lower-maintenance sod all around the new patio.