Quick tutorial... With an 8-way splitter and a large house, it's rare to encounter more than 20 dB total distribution system loss. (An 8-way splitter should have no more than 12 dB of loss and that leaves you another 8 dB of cable loss which translates to roughly 150' of RG-6 coax to get from the antenna, to the splitter and then to a given TV.) So when I look at NM (noise margin) values of +40 and higher, as shown in your TVFR, that tells me that even if you have no antenna gain and no amplification, your are going to have net NM in excess of 20 dB. Translation - No, you don't need an amplifier for the local signals.
I have yet to have any problems using Ideal brand splitters. Those with bandwidth ratings of 5 to 1000 MHz are fine in almost all OTA applications. I have used the Satellite grade (5 to 2300 MHz) only when mixing OTA and MoCA Ethernet modems on the same coax.
http://forum.tvfool.com/showthread.php?t=13090
http://forum.tvfool.com/showthread.php?t=13034
The strong local signals are going to make reliable LA reception quite a challenge. However, there's no harm in pointing the 190 at LA to see what you get. In fact, it would not be a big surprise to find that you get good local reception with the antenna pointed that way. If you want to chase after the LA signals, you may want to experiment with a Winegard LNA-200 preamp. However, you may find yourself building two separate antenna systems. The LA system may need to have stacked antennas for improved F/B ratio and single channel filters for suppression of the strong local signals.