Anything that gets you in the <20mm range (35mm equivalent; this is considered ultrawide territory) will be good. With an APS-C sensor (1.6x crop in Canon, 1.5x crop in Nikon) you will need something in the 13-14mm range on the wide end, at least. Most commonly available crop ultrawides are something like 12-xx, 11-xx, etc.
F-stop doesn't matter; you won't get better than about f/3.5 in a consumer-level zoom anyway. Just get a tripod for long exposures in dark places (note: almost all residential interiors are dark places, photographically speaking). Also learn a few techniques to hold a camera steady without a tripod by carefully bracing it against something. E.g. holding it with the back of the camera flat against a wall and using your body weight to hold it there and keep it from moving. This can get good results into the 0.5-1.0 second range with an ultrawide. A sturdy mini-tripod can be good for this, too. You can place it on a shelf or other piece of furniture, or you can hold it against the wall and keep it steady with your body weight, instead of on the camera directly (which, depending on the camera, might damage it; I'm used to the sturdy magnesium bodies on Canon's semipro DSLRs).
When doing things like that, it definitely helps to have a remote shutter release and/or a self-timer so that you don't move the camera by mashing the shutter button too hard (it's pretty easy to mash the shutter button too hard when you're coming at it from a weird angle).