Rap, are you decluttering for a particular reason, or just because?
This evening I spoke with the neighborhood handyman and he'll come by this weekend so we can discuss pulling down the framework that is the 24-year-old patio cover that has long needed removal. Lots of joists I can reuse around raised beds in the garden. He's welcome to any of it he can use, but a trip to the dump isn't going to be part of this, extra will be given away or cut up small for the trash.
It seems prudent to have this out of the way before the contractor starts looking at the job. It'll take us a couple of hours - depending on if it's held together with nails or screws. (I've reinforced it a few times with screws, but I suspect the rest is nails.)