You said you have a splitter splitting the connection two different ways.
Now, the way MOST splitters are is that they split hte connection stronger one way than the other. Just as a test, switch the way the coaxille's are on the splitter, for example, the cable thats on the right side of the splitter put on the left and visa versa ...
If that fixes the tv in your living room, then that's your problem, a crappy splitter (the tv in the kitchen might be the static riddeled one now too) I'm not sure If a signal booster would fix both tv's or not, I know it would if you used a cable service but, an antenna service, not sure, probably. Anyway, try what I told you to do and let me know how that works
OH, also try running the cable to the tv with the problem directly (with no splitter). The thing the splitter does, is exactly what its name implys, splits the signal. So if you are getting 10db of signal strength the splitter will split (just an example) 6db to one tv and 4db to another. Or something along those lines.