And they do poop a lot!Pull out trays never quite work as people expect. In order to be deep and large enough to be useful, they'll become so heavy and unbalanced that all it's going to do is dump bedding everywhere while the frame around the tray squeegees off poop inside. For 6 chickens (your max) you're looking at a 24 sq ft coop which means a 24 sq ft tray... not very manageable.
I don't think having the set up close the house is a problem as long as you have a plan to manage all the poop.
If you're worried about your neighbors seeing the coop over that wooden fence, to heck with them. If it's legal in your town and on your property and the neighbor is complaining about a coop that can be seen, I'd tell them nicely to pound sand !