Perfect stealth?
Of course, the best way to make it through is with perfect stealth, in every sense of the word. It's possible, just difficult. You'll need to stay behind the neighbour, if you ever need to pass him by, and tiptoe your way around the dungeon-like building to make sure you don't get caught. But also, in your early tries, don't be too afraid to just run in, find a method of progression, and then using what you've learnt on your next time through. It is basically a roguelike, after all. You can use his cupboards and wardrobes to hide away in if he's onto you, but they're not perfect...