Every LA station is strong. A compact outdoor antenna will receive them all. Some suggested VHF/UHF antennas, in order of performance and quality:
* Winegard HD-7694P
* AntennaCraft HBU-22
* Radio Shack VU-90XR
The least expensive one is the HBU-22. Any of these will provide flawless reception for up to 2 TVs without needing an amplifier. You might even be able to put three sets on the Winegard.