Replacing the concrete deck with wood could have been done in one of two ways: completely demolish the concrete porch and build a 100% wooden one in its place, or use the concrete as a base and just add wood on top of it. Since our concrete was in good condition and would offer a solid base we decided to keep it and just cover it all with wood.
Building a wooden deck this way does offer the advantage of not needing to worry about digging foundations, putting in joists, etc, but you do have to worry about the proper slope of the concrete porch, allowing for good water drainage, ensuring any parts that would be subjected to possible water pooling are treated against it, and such. I've done my best to protect against those things and take notes/photos of them, but I'm sure there's always room for improvement. If you're going to build something like this, remember this really important rule: an extra ten minutes spent putting in better water protection at this point will save you from headaches, hours of hours and $$$ in replacement materials down the road.