talk to your next door neighbour first - the paint may well 'leak' through to the other side where the overlaps are - you could be neighbourly and offer to lend them the sprayer and any left over paint to do their side.
also, if you have an electric sprayer, wear clothes that are ready for the bin, long sleeves and gloves, a hat/scarf on your head and a pair of safety goggles; the stuff gets everywhere. The hand-operated/pumped type of sprayer may not be as bad (not sure if that's the one you've bought).