M1 Carbine is a good choice, I think.
That being said... I believe there's a few things to consider for a HD carbine: size/type of home, configuration of walls/rooms/hallways, location of home, etc.
For instance, I live in a relatively spacious house with wide hallways. For the most part, I can sling a mosin nagant around in here! I have a decent amount of liberty with length, so carbine type is rather liberal. Ammo type concerns me more...
My neighbors are close enough to wave, but not so close that over penetrating walls is a big concern (note: it's still a concern). Based on that and a few other considerations, 223 or 7.62x39 is the largest that I would consider, but I prefer something less. 30M1 Carbine, a blackout with heavy subsonics, 7.62x25, etc are great if I want something more than typical handgun rounds, but carbines in pistol calibers are great too.
What considerations do you make for selecting a HD carbine?