Consider french doors, which will come with an aluminum sill plate
which does not have to be anchored. Sliding patio doors suck in my
opinion.

If you have to anchor to the concrete, no problem, just make sure
there are pre-drilled holes in the bottom framing, set your door, shim
it and all that, then drill the concrete with a hammer drill 1/4"
carbide masonry bit, pound in plastic anchors and screw in flat head
screws.