I have everything in my basement and the ceiling is fairly low. It won't fit a power rack but it will fit a squat rack (adjustable with safety catches). How low is the ceiling? One good rack and a bench to go in it will take care of everything.
But even if you can fit in a rack you'll be limited with overhead work, etc. You'd need 7.5 feet to make it somewhat comfortable. Average rack height is around 82 inches (6.8 feet). Otherwise you should probably join a gym.
NewYork Barbell has one that's 72" high...(excellent sale price, btw):
http://www.newyorkbarbells.com/pro93120.html
This one here is only 6 feet (more expensive, and no that's not my page, haha):
http://bodybuildingequipment.ericsgy...rack/index.htm
The trick, if you can fit it in, is to get a "spotter rack" rather than any kind of "squat rack". A cage would be a spotter rack or on of these kinds I've linked. When your space is limited you want to be able to do everything in one spot but I would NOT buy anything that 1. didn't have any safety catches (spotters) or 2. limited you to only one heigh or adjustment (i.e. just squatting).
So anyway, imo, you'd be much better off saving your money until you can get something versatile and safe. It is very unsafe for a lone person to be squatting without any safety cathches. Anything can happen. It's a waste of money to spend a couple hundred bucks on nothing more than a barbell holder when you will be sacrificing safety and limiting what you can do.