Repair ideas for mid-'90s JVC 35"?

[Nick_the_'Nole]

The bigass TV in the living room gave up the ghost the other day, but since it's such a bigass TV I'd like to try and fix it if possible. The sound still works but I don't get any picture, just a 1/4" line in the middle of the screen. Bumping the side of the case got it to go fullscreen for a split second, but then the screen just went black. I suspect it's a loose connection or something, but I'm not familiar with newer TV's enough to know where to start. Any ideas?