Hi -
You are fortunate that all the stations of interest are broadcasting toward you from Mt. Wilson.
I would get some rabbit ears and see what I pick up. There is a lot of signal in the air, and the rabbit ears are likely the best for VHF, other than a big outdoors antenna. VHF signals have a comparatively long wavelength, and for them, the size of the antenna makes a difference. Bigger is better, at least up to 10' or so.
When I rented in Irvine, I suspended an outdoor antenna from the interior ceiling, and it worked well. An outdoor antenna works fine indoors, except for the obstructions provided by the building. So that's one option ... if you want to go bigger, buy an outdoors antenna and put it somewhere out of the way.
But I'd try it with rabbit ears first. That may be all you need, depending on the building you are in. Also, it may be worthwhile to move the rabbit ears around within the building or out on your balcony, or whatever. On top of the TV is unlikely to be optimal placement.
http://www.amazon.com/RCA-Indoor-FM-.../dp/B000HKGK8Y
http://www.antennacraft.net/Antennas/AntennasHBU.html