Deck stairway advice

Is double banded like doubled-up? If not, got any pictures/sketches? I'm more of a visual person

Yes, sandwich 2 2x8's, 10's etc or add a 2x 10 to the deck band before attaching to it if it's a single 2x8.
 
Can't see the rest of the house in the pic ( is that a bay window ) but I think it would be better to run the stairs w the side of the house. You would lose at least 4' of length of the stairs by eliminating the top landing and stepping down right off the deck. Add a band to the rim joist and some blocking ( Robs first pic ) and posts under the widened rimjoist where the stairs attach to the deck and come on down, leave the stairs a bit off the side of the house and you don't have to touch the siding. You would also have better access under the deck from the yard and better airflow under there as the alongside stairs/landing would cut off access to underneath except right against the house under the landing / stairs, and the bottom of the stairs.
Yes, the window to the right of the deck is 55"wx59"t and there's another out of frame in the basement that's 63"wx59"t directly below it. My AC units are right next to the house exactly where the stairs would touchdown if I ran them along the house.
I'd like to put the stairs in that corner since there is an outside light & electrical outlet outside of the banister that don't do much/have great access, but not sure if that will happen. I also confirmed that my sewer tie in is right below the faucet in the pictures, so I would have to be careful adding supports next to the deck.
 
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