I posted a sequence of photos on Instagram showing the tarp installation over the patio cover. I didn't want to haul the tall articulated ladder out so I tied a long twine to a grommet at the corner of the tarp, attached a padlock to the other end, and threw it over the top to begin pulling it across. Nudging with a broom stick and a few leveraged pulls I managed to get the whole thing in place. With just the short step ladder and some cheap bungee cords I fastened it to the frame. This is over the top of the 12x10' tarp I screwed down onto just the very top, so the filtering is robust. The new tarp hangs a longer on the west side where the evening sun hits. The house is much cooler this evening.

I had my coupon at Harbor Freight but my size tarp was out of stock; I glanced to the side and found one on a shelf with a tag saying it was an "open box" and priced a dollar cheaper than my coupon. The stars aligned and my house is much cooler.