I don't want to presume to know your preferences in programming. That said, most folks in the LA market will find most of the programing of interest is broadcast from facilities on Mt. Wilson (NW of your location). Several of the stations shown east of your location are not on the air, most others are carrying niche' market programming.
Your TVFR suggests you have a fairly good chance at receiving the High-VHF (CH7 through CH13) signals from Mt. Wilson. To do that, I would opt for an Antennacraft Y10713 (or even a stacked pair of Y10713's...
http://forum.tvfool.com/showthread.php?t=1024). You will be facing a tough challenge given how close the blocking terrain is to your location.
The effect of the blocking terrain is more pronounced at UHF frequencies, so you'll need to use the biggest UHF antenna available to have a shot at the Mt. Wilson UHF channels. I would go with an Antennas Direct 91XG, for it's gain, directivity and also for it's boom tilt adjustment which you would use to tilt it up at the top of the hill/mountain that you see at 290°.
If you opt to try this, I would anticipate that you will want to install a preamp on the H-VHF and a separate preamp on the UHF antenna. The Antennas Direct CPA-19 would be my choice. The outputs of the to preamps can be combined with a UVSJ.