You might really want a collapsible stock. I believe it was...oh, who was it...the fellow with Wege Antilles as his avatar, didn't have any difficulty clearing his house with an A2 stock and 20" bbl, but since it certainly will be close quarters, I'd follow the general concession of a shorter, lighter weapon. The collapsible stock can be long for the range/prone, and short for tight spaces with little space to maneuver the weapon. Stocks can range from around $100 to $230. Whole rifles can include such a stock, but as others have said, building your own will still be cheaper.
As people have said, an M4 profile bbl is good, though I don't see why you couldn't go even lighter and get a pencil bbl, such as Bushmaster's Superlite model. I second the notion of the Phantom flash hider, which people here tested and found to really eliminate that muzzle flash that is so difficult in dark hallways. 14.5" or 16" are the ideal lengths.
Take a look at
ammo oracle for why the .223 or 5.56mm, standard for the AR15, is ideal for home defense. In short, it's light, but fragile, and standard 55 grain FMJ fragments in tissue and walls, to make a huge wound cavity but also not penetrate much beyond the target if you miss.
I like Bushmaster,
Bushmaster, but please note that you can always find one of their rifles for a significantly lower price than what is listed, but still brand new. I would suggest a flattop model, that with the detachable carry handle, in case you want to mount a relex sight for faster target lineup. However, that's another $100, so if you don't mind the rear sight in your view, you can just mount the optic on a gooseneck attachement or some such device, and the large hole is adequate for aiming; that's why it's there.
I would say that besides the rifle, a tactical flashlight with shock isolated bezel is essential, if you don't want to be hassled with flipping on lights and taking your hand off the weapon. Surefire is highly recommended, and I think you can find some good deals in the equipment exchange from dealers such as G&R or brightflashlights. The M500 series would be good, because you won't have to spend extra money on a rail system. However, that in itself is around $500.
In short, you could get a 5.56mm AR15 with 14.5" bbl with Phantom (or Vortex) flash hider, a collapsible stock, and a flashlight.